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Finding the Fourth Proportional to 9,123.53, 13,699.62 and 5,442.18

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Solution

The fourth proportional to 9,123.53, 13,699.62 and 5,442.18 is: 8,171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.53 : 13,699.62 = 5,442.18 : x
  2. Step 2: Convert to fraction form
    9,123.53/13,699.62 = 5,442.18/x
  3. Step 3: Cross multiply
    9,123.53x = 13,699.62 × 5,442.18
  4. Step 4: Simplify right side
    9,123.53x = 74,555,797.97
  5. Step 5: Solve for x
    x = 74,555,797.97/9,123.53
  6. Step 6: Final answer
    x = 8,171.81

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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.