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Finding the Fourth Proportional to 9,672,509.60, 14,496,322.80 and 5,881,968.80

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Solution

The fourth proportional to 9,672,509.60, 14,496,322.80 and 5,881,968.80 is: 8,815,387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672,509.60 : 14,496,322.80 = 5,881,968.80 : x
  2. Step 2: Convert to fraction form
    9,672,509.60/14,496,322.80 = 5,881,968.80/x
  3. Step 3: Cross multiply
    9,672,509.60x = 14,496,322.80 × 5,881,968.80
  4. Step 4: Simplify right side
    9,672,509.60x = 85,266,918,424,328.64
  5. Step 5: Solve for x
    x = 85,266,918,424,328.64/9,672,509.60
  6. Step 6: Final answer
    x = 8,815,387.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.