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Finding the Fourth Proportional to 9,543.78, 13,174.02 and 6,401.76

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Solution

The fourth proportional to 9,543.78, 13,174.02 and 6,401.76 is: 8,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.78 : 13,174.02 = 6,401.76 : x
  2. Step 2: Convert to fraction form
    9,543.78/13,174.02 = 6,401.76/x
  3. Step 3: Cross multiply
    9,543.78x = 13,174.02 × 6,401.76
  4. Step 4: Simplify right side
    9,543.78x = 84,336,914.28
  5. Step 5: Solve for x
    x = 84,336,914.28/9,543.78
  6. Step 6: Final answer
    x = 8,836.85

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