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Finding the Fourth Proportional to 9,932.04, 13,706.28 and 5,456.16

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Solution

The fourth proportional to 9,932.04, 13,706.28 and 5,456.16 is: 7,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.04 : 13,706.28 = 5,456.16 : x
  2. Step 2: Convert to fraction form
    9,932.04/13,706.28 = 5,456.16/x
  3. Step 3: Cross multiply
    9,932.04x = 13,706.28 × 5,456.16
  4. Step 4: Simplify right side
    9,932.04x = 74,783,656.68
  5. Step 5: Solve for x
    x = 74,783,656.68/9,932.04
  6. Step 6: Final answer
    x = 7,529.54

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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.