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Finding the Fourth Proportional to 9,701.92, 13,385.16 and 6,346.66

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Solution

The fourth proportional to 9,701.92, 13,385.16 and 6,346.66 is: 8,756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.92 : 13,385.16 = 6,346.66 : x
  2. Step 2: Convert to fraction form
    9,701.92/13,385.16 = 6,346.66/x
  3. Step 3: Cross multiply
    9,701.92x = 13,385.16 × 6,346.66
  4. Step 4: Simplify right side
    9,701.92x = 84,951,059.57
  5. Step 5: Solve for x
    x = 84,951,059.57/9,701.92
  6. Step 6: Final answer
    x = 8,756.11

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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.