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Finding the Fourth Proportional to 9,711.08, 13,397.08 and 6,123.21

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Solution

The fourth proportional to 9,711.08, 13,397.08 and 6,123.21 is: 8,447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.08 : 13,397.08 = 6,123.21 : x
  2. Step 2: Convert to fraction form
    9,711.08/13,397.08 = 6,123.21/x
  3. Step 3: Cross multiply
    9,711.08x = 13,397.08 × 6,123.21
  4. Step 4: Simplify right side
    9,711.08x = 82,033,134.23
  5. Step 5: Solve for x
    x = 82,033,134.23/9,711.08
  6. Step 6: Final answer
    x = 8,447.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.