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Finding the Fourth Proportional to 9,377.14, 14,023.38 and 7,156.66

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Solution

The fourth proportional to 9,377.14, 14,023.38 and 7,156.66 is: 10,702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.14 : 14,023.38 = 7,156.66 : x
  2. Step 2: Convert to fraction form
    9,377.14/14,023.38 = 7,156.66/x
  3. Step 3: Cross multiply
    9,377.14x = 14,023.38 × 7,156.66
  4. Step 4: Simplify right side
    9,377.14x = 100,360,562.71
  5. Step 5: Solve for x
    x = 100,360,562.71/9,377.14
  6. Step 6: Final answer
    x = 10,702.68

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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.