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Finding the Fourth Proportional to 9,914.61, 14,851.67 and 5,534.40

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Solution

The fourth proportional to 9,914.61, 14,851.67 and 5,534.40 is: 8,290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.61 : 14,851.67 = 5,534.40 : x
  2. Step 2: Convert to fraction form
    9,914.61/14,851.67 = 5,534.40/x
  3. Step 3: Cross multiply
    9,914.61x = 14,851.67 × 5,534.40
  4. Step 4: Simplify right side
    9,914.61x = 82,195,054.78
  5. Step 5: Solve for x
    x = 82,195,054.78/9,914.61
  6. Step 6: Final answer
    x = 8,290.30

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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.