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Finding the Fourth Proportional to 9,139.20, 13,710.24 and 3,297.24

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Solution

The fourth proportional to 9,139.20, 13,710.24 and 3,297.24 is: 4,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.20 : 13,710.24 = 3,297.24 : x
  2. Step 2: Convert to fraction form
    9,139.20/13,710.24 = 3,297.24/x
  3. Step 3: Cross multiply
    9,139.20x = 13,710.24 × 3,297.24
  4. Step 4: Simplify right side
    9,139.20x = 45,205,951.74
  5. Step 5: Solve for x
    x = 45,205,951.74/9,139.20
  6. Step 6: Final answer
    x = 4,946.38

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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.