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Finding the Fourth Proportional to 9,006.34, 13,509.50 and 2,432.51

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Solution

The fourth proportional to 9,006.34, 13,509.50 and 2,432.51 is: 3,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.34 : 13,509.50 = 2,432.51 : x
  2. Step 2: Convert to fraction form
    9,006.34/13,509.50 = 2,432.51/x
  3. Step 3: Cross multiply
    9,006.34x = 13,509.50 × 2,432.51
  4. Step 4: Simplify right side
    9,006.34x = 32,862,044.21
  5. Step 5: Solve for x
    x = 32,862,044.21/9,006.34
  6. Step 6: Final answer
    x = 3,648.77

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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.