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Finding the Fourth Proportional to 9,116.60, 13,680.30 and 6,645.20

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Solution

The fourth proportional to 9,116.60, 13,680.30 and 6,645.20 is: 9,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.60 : 13,680.30 = 6,645.20 : x
  2. Step 2: Convert to fraction form
    9,116.60/13,680.30 = 6,645.20/x
  3. Step 3: Cross multiply
    9,116.60x = 13,680.30 × 6,645.20
  4. Step 4: Simplify right side
    9,116.60x = 90,908,329.56
  5. Step 5: Solve for x
    x = 90,908,329.56/9,116.60
  6. Step 6: Final answer
    x = 9,971.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.