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Finding the Fourth Proportional to 9,731,404.64, 14,610,344.88 and 5,474,568.80

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Solution

The fourth proportional to 9,731,404.64, 14,610,344.88 and 5,474,568.80 is: 8,219,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731,404.64 : 14,610,344.88 = 5,474,568.80 : x
  2. Step 2: Convert to fraction form
    9,731,404.64/14,610,344.88 = 5,474,568.80/x
  3. Step 3: Cross multiply
    9,731,404.64x = 14,610,344.88 × 5,474,568.80
  4. Step 4: Simplify right side
    9,731,404.64x = 79,985,338,237,287.75
  5. Step 5: Solve for x
    x = 79,985,338,237,287.75/9,731,404.64
  6. Step 6: Final answer
    x = 8,219,300.42

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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.