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Finding the Fourth Proportional to 9,815.27, 14,711.13 and 4,543.16

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Solution

The fourth proportional to 9,815.27, 14,711.13 and 4,543.16 is: 6,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.27 : 14,711.13 = 4,543.16 : x
  2. Step 2: Convert to fraction form
    9,815.27/14,711.13 = 4,543.16/x
  3. Step 3: Cross multiply
    9,815.27x = 14,711.13 × 4,543.16
  4. Step 4: Simplify right side
    9,815.27x = 66,834,943.82
  5. Step 5: Solve for x
    x = 66,834,943.82/9,815.27
  6. Step 6: Final answer
    x = 6,809.29

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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.