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Finding the Fourth Proportional to 9,732.24, 14,663.52 and 8,808.84

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Solution

The fourth proportional to 9,732.24, 14,663.52 and 8,808.84 is: 13,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.24 : 14,663.52 = 8,808.84 : x
  2. Step 2: Convert to fraction form
    9,732.24/14,663.52 = 8,808.84/x
  3. Step 3: Cross multiply
    9,732.24x = 14,663.52 × 8,808.84
  4. Step 4: Simplify right side
    9,732.24x = 129,168,601.52
  5. Step 5: Solve for x
    x = 129,168,601.52/9,732.24
  6. Step 6: Final answer
    x = 13,272.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.