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Finding the Fourth Proportional to 9,036.29, 13,562.53 and 7,564.72

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Solution

The fourth proportional to 9,036.29, 13,562.53 and 7,564.72 is: 11,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,036.29 : 13,562.53 = 7,564.72 : x
  2. Step 2: Convert to fraction form
    9,036.29/13,562.53 = 7,564.72/x
  3. Step 3: Cross multiply
    9,036.29x = 13,562.53 × 7,564.72
  4. Step 4: Simplify right side
    9,036.29x = 102,596,741.94
  5. Step 5: Solve for x
    x = 102,596,741.94/9,036.29
  6. Step 6: Final answer
    x = 11,353.86

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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.