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Finding the Fourth Proportional to 9,617.71, 13,272.66 and 6,032.82

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Solution

The fourth proportional to 9,617.71, 13,272.66 and 6,032.82 is: 8,325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.71 : 13,272.66 = 6,032.82 : x
  2. Step 2: Convert to fraction form
    9,617.71/13,272.66 = 6,032.82/x
  3. Step 3: Cross multiply
    9,617.71x = 13,272.66 × 6,032.82
  4. Step 4: Simplify right side
    9,617.71x = 80,071,525.15
  5. Step 5: Solve for x
    x = 80,071,525.15/9,617.71
  6. Step 6: Final answer
    x = 8,325.43

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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.