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Finding the Fourth Proportional to 9,491.56, 13,098.86 and 5,513.92

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Solution

The fourth proportional to 9,491.56, 13,098.86 and 5,513.92 is: 7,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.56 : 13,098.86 = 5,513.92 : x
  2. Step 2: Convert to fraction form
    9,491.56/13,098.86 = 5,513.92/x
  3. Step 3: Cross multiply
    9,491.56x = 13,098.86 × 5,513.92
  4. Step 4: Simplify right side
    9,491.56x = 72,226,066.13
  5. Step 5: Solve for x
    x = 72,226,066.13/9,491.56
  6. Step 6: Final answer
    x = 7,609.50

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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.