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Finding the Fourth Proportional to 9,122.53, 12,589.10 and 4,930.78

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Solution

The fourth proportional to 9,122.53, 12,589.10 and 4,930.78 is: 6,804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.53 : 12,589.10 = 4,930.78 : x
  2. Step 2: Convert to fraction form
    9,122.53/12,589.10 = 4,930.78/x
  3. Step 3: Cross multiply
    9,122.53x = 12,589.10 × 4,930.78
  4. Step 4: Simplify right side
    9,122.53x = 62,074,082.50
  5. Step 5: Solve for x
    x = 62,074,082.50/9,122.53
  6. Step 6: Final answer
    x = 6,804.48

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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.