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Finding the Fourth Proportional to 7,042.87, 9,719.16 and 3,856.15

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Solution

The fourth proportional to 7,042.87, 9,719.16 and 3,856.15 is: 5,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.87 : 9,719.16 = 3,856.15 : x
  2. Step 2: Convert to fraction form
    7,042.87/9,719.16 = 3,856.15/x
  3. Step 3: Cross multiply
    7,042.87x = 9,719.16 × 3,856.15
  4. Step 4: Simplify right side
    7,042.87x = 37,478,538.83
  5. Step 5: Solve for x
    x = 37,478,538.83/7,042.87
  6. Step 6: Final answer
    x = 5,321.49

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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.