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Finding the Fourth Proportional to 6,675.86, 9,209.62 and 4,318.76

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Solution

The fourth proportional to 6,675.86, 9,209.62 and 4,318.76 is: 5,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.86 : 9,209.62 = 4,318.76 : x
  2. Step 2: Convert to fraction form
    6,675.86/9,209.62 = 4,318.76/x
  3. Step 3: Cross multiply
    6,675.86x = 9,209.62 × 4,318.76
  4. Step 4: Simplify right side
    6,675.86x = 39,774,138.47
  5. Step 5: Solve for x
    x = 39,774,138.47/6,675.86
  6. Step 6: Final answer
    x = 5,957.90

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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.