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Finding the Fourth Proportional to 6,506.88, 9,755.68 and 3,042.24

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Solution

The fourth proportional to 6,506.88, 9,755.68 and 3,042.24 is: 4,561.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.88 : 9,755.68 = 3,042.24 : x
  2. Step 2: Convert to fraction form
    6,506.88/9,755.68 = 3,042.24/x
  3. Step 3: Cross multiply
    6,506.88x = 9,755.68 × 3,042.24
  4. Step 4: Simplify right side
    6,506.88x = 29,679,119.92
  5. Step 5: Solve for x
    x = 29,679,119.92/6,506.88
  6. Step 6: Final answer
    x = 4,561.19

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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.