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Finding the Fourth Proportional to 9,932.48, 13,709.12 and 5,956.16

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Solution

The fourth proportional to 9,932.48, 13,709.12 and 5,956.16 is: 8,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.48 : 13,709.12 = 5,956.16 : x
  2. Step 2: Convert to fraction form
    9,932.48/13,709.12 = 5,956.16/x
  3. Step 3: Cross multiply
    9,932.48x = 13,709.12 × 5,956.16
  4. Step 4: Simplify right side
    9,932.48x = 81,653,712.18
  5. Step 5: Solve for x
    x = 81,653,712.18/9,932.48
  6. Step 6: Final answer
    x = 8,220.88

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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.