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Finding the Fourth Proportional to 9,036.47, 13,562.81 and 7,564.91

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Solution

The fourth proportional to 9,036.47, 13,562.81 and 7,564.91 is: 11,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,036.47 : 13,562.81 = 7,564.91 : x
  2. Step 2: Convert to fraction form
    9,036.47/13,562.81 = 7,564.91/x
  3. Step 3: Cross multiply
    9,036.47x = 13,562.81 × 7,564.91
  4. Step 4: Simplify right side
    9,036.47x = 102,601,359.73
  5. Step 5: Solve for x
    x = 102,601,359.73/9,036.47
  6. Step 6: Final answer
    x = 11,354.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.