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Finding the Fourth Proportional to 9,165.64, 13,747.65 and 5,007.52

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Solution

The fourth proportional to 9,165.64, 13,747.65 and 5,007.52 is: 7,510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.64 : 13,747.65 = 5,007.52 : x
  2. Step 2: Convert to fraction form
    9,165.64/13,747.65 = 5,007.52/x
  3. Step 3: Cross multiply
    9,165.64x = 13,747.65 × 5,007.52
  4. Step 4: Simplify right side
    9,165.64x = 68,841,632.33
  5. Step 5: Solve for x
    x = 68,841,632.33/9,165.64
  6. Step 6: Final answer
    x = 7,510.84

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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.