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Finding the Fourth Proportional to 9,226.20, 12,748.84 and 6,569

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Solution

The fourth proportional to 9,226.20, 12,748.84 and 6,569 is: 9,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.20 : 12,748.84 = 6,569 : x
  2. Step 2: Convert to fraction form
    9,226.20/12,748.84 = 6,569/x
  3. Step 3: Cross multiply
    9,226.20x = 12,748.84 × 6,569
  4. Step 4: Simplify right side
    9,226.20x = 83,747,129.96
  5. Step 5: Solve for x
    x = 83,747,129.96/9,226.20
  6. Step 6: Final answer
    x = 9,077.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.