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Finding the Fourth Proportional to 9,737.76, 13,442.58 and 6,380.76

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Solution

The fourth proportional to 9,737.76, 13,442.58 and 6,380.76 is: 8,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.76 : 13,442.58 = 6,380.76 : x
  2. Step 2: Convert to fraction form
    9,737.76/13,442.58 = 6,380.76/x
  3. Step 3: Cross multiply
    9,737.76x = 13,442.58 × 6,380.76
  4. Step 4: Simplify right side
    9,737.76x = 85,773,876.76
  5. Step 5: Solve for x
    x = 85,773,876.76/9,737.76
  6. Step 6: Final answer
    x = 8,808.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.