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Finding the Fourth Proportional to 6,435.77, 9,648.18 and 2,542.91

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Solution

The fourth proportional to 6,435.77, 9,648.18 and 2,542.91 is: 3,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.77 : 9,648.18 = 2,542.91 : x
  2. Step 2: Convert to fraction form
    6,435.77/9,648.18 = 2,542.91/x
  3. Step 3: Cross multiply
    6,435.77x = 9,648.18 × 2,542.91
  4. Step 4: Simplify right side
    6,435.77x = 24,534,405.16
  5. Step 5: Solve for x
    x = 24,534,405.16/6,435.77
  6. Step 6: Final answer
    x = 3,812.20

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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.