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Finding the Fourth Proportional to 6,010.47, 9,015.71 and 4,151.43

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Solution

The fourth proportional to 6,010.47, 9,015.71 and 4,151.43 is: 6,227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,010.47 : 9,015.71 = 4,151.43 : x
  2. Step 2: Convert to fraction form
    6,010.47/9,015.71 = 4,151.43/x
  3. Step 3: Cross multiply
    6,010.47x = 9,015.71 × 4,151.43
  4. Step 4: Simplify right side
    6,010.47x = 37,428,068.21
  5. Step 5: Solve for x
    x = 37,428,068.21/6,010.47
  6. Step 6: Final answer
    x = 6,227.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.