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Finding the Fourth Proportional to 9,151.38, 13,722.15 and 2,909.70

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Solution

The fourth proportional to 9,151.38, 13,722.15 and 2,909.70 is: 4,362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.38 : 13,722.15 = 2,909.70 : x
  2. Step 2: Convert to fraction form
    9,151.38/13,722.15 = 2,909.70/x
  3. Step 3: Cross multiply
    9,151.38x = 13,722.15 × 2,909.70
  4. Step 4: Simplify right side
    9,151.38x = 39,927,339.86
  5. Step 5: Solve for x
    x = 39,927,339.86/9,151.38
  6. Step 6: Final answer
    x = 4,362.99

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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.