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Finding the Fourth Proportional to 9,766.44, 13,465.80 and 6,617.16

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Solution

The fourth proportional to 9,766.44, 13,465.80 and 6,617.16 is: 9,123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.44 : 13,465.80 = 6,617.16 : x
  2. Step 2: Convert to fraction form
    9,766.44/13,465.80 = 6,617.16/x
  3. Step 3: Cross multiply
    9,766.44x = 13,465.80 × 6,617.16
  4. Step 4: Simplify right side
    9,766.44x = 89,105,353.13
  5. Step 5: Solve for x
    x = 89,105,353.13/9,766.44
  6. Step 6: Final answer
    x = 9,123.63

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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.