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Finding the Fourth Proportional to 10,326.92, 15,548.78 and 9,102.20

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Solution

The fourth proportional to 10,326.92, 15,548.78 and 9,102.20 is: 13,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.92 : 15,548.78 = 9,102.20 : x
  2. Step 2: Convert to fraction form
    10,326.92/15,548.78 = 9,102.20/x
  3. Step 3: Cross multiply
    10,326.92x = 15,548.78 × 9,102.20
  4. Step 4: Simplify right side
    10,326.92x = 141,528,105.32
  5. Step 5: Solve for x
    x = 141,528,105.32/10,326.92
  6. Step 6: Final answer
    x = 13,704.77

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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.