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Finding the Fourth Proportional to 6,123.42, 9,168.72 and 5,040.90

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Solution

The fourth proportional to 6,123.42, 9,168.72 and 5,040.90 is: 7,547.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.42 : 9,168.72 = 5,040.90 : x
  2. Step 2: Convert to fraction form
    6,123.42/9,168.72 = 5,040.90/x
  3. Step 3: Cross multiply
    6,123.42x = 9,168.72 × 5,040.90
  4. Step 4: Simplify right side
    6,123.42x = 46,218,600.65
  5. Step 5: Solve for x
    x = 46,218,600.65/6,123.42
  6. Step 6: Final answer
    x = 7,547.84

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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.