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Finding the Fourth Proportional to 9,766.50, 13,488.72 and 6,617.22

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Solution

The fourth proportional to 9,766.50, 13,488.72 and 6,617.22 is: 9,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.50 : 13,488.72 = 6,617.22 : x
  2. Step 2: Convert to fraction form
    9,766.50/13,488.72 = 6,617.22/x
  3. Step 3: Cross multiply
    9,766.50x = 13,488.72 × 6,617.22
  4. Step 4: Simplify right side
    9,766.50x = 89,257,827.76
  5. Step 5: Solve for x
    x = 89,257,827.76/9,766.50
  6. Step 6: Final answer
    x = 9,139.18

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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.