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Finding the Fourth Proportional to 9,715.60, 13,406.92 and 5,466.13

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Solution

The fourth proportional to 9,715.60, 13,406.92 and 5,466.13 is: 7,542.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.60 : 13,406.92 = 5,466.13 : x
  2. Step 2: Convert to fraction form
    9,715.60/13,406.92 = 5,466.13/x
  3. Step 3: Cross multiply
    9,715.60x = 13,406.92 × 5,466.13
  4. Step 4: Simplify right side
    9,715.60x = 73,283,995.85
  5. Step 5: Solve for x
    x = 73,283,995.85/9,715.60
  6. Step 6: Final answer
    x = 7,542.92

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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.