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Finding the Fourth Proportional to 9,152.86, 13,727.22 and 5,456.14

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Solution

The fourth proportional to 9,152.86, 13,727.22 and 5,456.14 is: 8,182.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.86 : 13,727.22 = 5,456.14 : x
  2. Step 2: Convert to fraction form
    9,152.86/13,727.22 = 5,456.14/x
  3. Step 3: Cross multiply
    9,152.86x = 13,727.22 × 5,456.14
  4. Step 4: Simplify right side
    9,152.86x = 74,897,634.13
  5. Step 5: Solve for x
    x = 74,897,634.13/9,152.86
  6. Step 6: Final answer
    x = 8,182.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.