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Finding the Fourth Proportional to 6,277.85, 9,411.91 and 3,641.30

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Solution

The fourth proportional to 6,277.85, 9,411.91 and 3,641.30 is: 5,459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.85 : 9,411.91 = 3,641.30 : x
  2. Step 2: Convert to fraction form
    6,277.85/9,411.91 = 3,641.30/x
  3. Step 3: Cross multiply
    6,277.85x = 9,411.91 × 3,641.30
  4. Step 4: Simplify right side
    6,277.85x = 34,271,569.68
  5. Step 5: Solve for x
    x = 34,271,569.68/6,277.85
  6. Step 6: Final answer
    x = 5,459.13

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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.