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Finding the Fourth Proportional to 9,002.63, 13,480.29 and 6,355.87

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Solution

The fourth proportional to 9,002.63, 13,480.29 and 6,355.87 is: 9,517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.63 : 13,480.29 = 6,355.87 : x
  2. Step 2: Convert to fraction form
    9,002.63/13,480.29 = 6,355.87/x
  3. Step 3: Cross multiply
    9,002.63x = 13,480.29 × 6,355.87
  4. Step 4: Simplify right side
    9,002.63x = 85,678,970.80
  5. Step 5: Solve for x
    x = 85,678,970.80/9,002.63
  6. Step 6: Final answer
    x = 9,517.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.