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Finding the Fourth Proportional to 9,006.34, 13,509.51 and 2,432.70

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Solution

The fourth proportional to 9,006.34, 13,509.51 and 2,432.70 is: 3,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.34 : 13,509.51 = 2,432.70 : x
  2. Step 2: Convert to fraction form
    9,006.34/13,509.51 = 2,432.70/x
  3. Step 3: Cross multiply
    9,006.34x = 13,509.51 × 2,432.70
  4. Step 4: Simplify right side
    9,006.34x = 32,864,525.70
  5. Step 5: Solve for x
    x = 32,864,525.70/9,006.34
  6. Step 6: Final answer
    x = 3,649.04

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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.