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Finding the Fourth Proportional to 9,006.17, 13,508.19 and 2,432.87

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Solution

The fourth proportional to 9,006.17, 13,508.19 and 2,432.87 is: 3,649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.17 : 13,508.19 = 2,432.87 : x
  2. Step 2: Convert to fraction form
    9,006.17/13,508.19 = 2,432.87/x
  3. Step 3: Cross multiply
    9,006.17x = 13,508.19 × 2,432.87
  4. Step 4: Simplify right side
    9,006.17x = 32,863,602.66
  5. Step 5: Solve for x
    x = 32,863,602.66/9,006.17
  6. Step 6: Final answer
    x = 3,649.01

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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.