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Finding the Fourth Proportional to 6,024.67, 9,037.61 and 1,642.13

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Solution

The fourth proportional to 6,024.67, 9,037.61 and 1,642.13 is: 2,463.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.67 : 9,037.61 = 1,642.13 : x
  2. Step 2: Convert to fraction form
    6,024.67/9,037.61 = 1,642.13/x
  3. Step 3: Cross multiply
    6,024.67x = 9,037.61 × 1,642.13
  4. Step 4: Simplify right side
    6,024.67x = 14,840,920.05
  5. Step 5: Solve for x
    x = 14,840,920.05/6,024.67
  6. Step 6: Final answer
    x = 2,463.36

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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.