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Finding the Fourth Proportional to 8,491.34, 12,737.02 and 2,944.69

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Solution

The fourth proportional to 8,491.34, 12,737.02 and 2,944.69 is: 4,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.34 : 12,737.02 = 2,944.69 : x
  2. Step 2: Convert to fraction form
    8,491.34/12,737.02 = 2,944.69/x
  3. Step 3: Cross multiply
    8,491.34x = 12,737.02 × 2,944.69
  4. Step 4: Simplify right side
    8,491.34x = 37,506,575.42
  5. Step 5: Solve for x
    x = 37,506,575.42/8,491.34
  6. Step 6: Final answer
    x = 4,417.04

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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.