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Finding the Fourth Proportional to 9,489.92, 13,095.36 and 5,712.32

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Solution

The fourth proportional to 9,489.92, 13,095.36 and 5,712.32 is: 7,882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.92 : 13,095.36 = 5,712.32 : x
  2. Step 2: Convert to fraction form
    9,489.92/13,095.36 = 5,712.32/x
  3. Step 3: Cross multiply
    9,489.92x = 13,095.36 × 5,712.32
  4. Step 4: Simplify right side
    9,489.92x = 74,804,886.84
  5. Step 5: Solve for x
    x = 74,804,886.84/9,489.92
  6. Step 6: Final answer
    x = 7,882.56

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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.