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Finding the Fourth Proportional to 6,869.88, 9,488.16 and 4,627.83

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Solution

The fourth proportional to 6,869.88, 9,488.16 and 4,627.83 is: 6,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.88 : 9,488.16 = 4,627.83 : x
  2. Step 2: Convert to fraction form
    6,869.88/9,488.16 = 4,627.83/x
  3. Step 3: Cross multiply
    6,869.88x = 9,488.16 × 4,627.83
  4. Step 4: Simplify right side
    6,869.88x = 43,909,591.49
  5. Step 5: Solve for x
    x = 43,909,591.49/6,869.88
  6. Step 6: Final answer
    x = 6,391.61

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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.