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Finding the Fourth Proportional to 9,788.97, 13,506.51 and 6,608.17

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Solution

The fourth proportional to 9,788.97, 13,506.51 and 6,608.17 is: 9,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.97 : 13,506.51 = 6,608.17 : x
  2. Step 2: Convert to fraction form
    9,788.97/13,506.51 = 6,608.17/x
  3. Step 3: Cross multiply
    9,788.97x = 13,506.51 × 6,608.17
  4. Step 4: Simplify right side
    9,788.97x = 89,253,314.19
  5. Step 5: Solve for x
    x = 89,253,314.19/9,788.97
  6. Step 6: Final answer
    x = 9,117.74

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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.