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Finding the Fourth Proportional to 6,065.38, 9,141.64 and 5,726.33

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Solution

The fourth proportional to 6,065.38, 9,141.64 and 5,726.33 is: 8,630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.38 : 9,141.64 = 5,726.33 : x
  2. Step 2: Convert to fraction form
    6,065.38/9,141.64 = 5,726.33/x
  3. Step 3: Cross multiply
    6,065.38x = 9,141.64 × 5,726.33
  4. Step 4: Simplify right side
    6,065.38x = 52,348,047.38
  5. Step 5: Solve for x
    x = 52,348,047.38/6,065.38
  6. Step 6: Final answer
    x = 8,630.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.