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Finding the Fourth Proportional to 6,061.76, 9,095.04 and 4,112.96

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Solution

The fourth proportional to 6,061.76, 9,095.04 and 4,112.96 is: 6,171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.76 : 9,095.04 = 4,112.96 : x
  2. Step 2: Convert to fraction form
    6,061.76/9,095.04 = 4,112.96/x
  3. Step 3: Cross multiply
    6,061.76x = 9,095.04 × 4,112.96
  4. Step 4: Simplify right side
    6,061.76x = 37,407,535.72
  5. Step 5: Solve for x
    x = 37,407,535.72/6,061.76
  6. Step 6: Final answer
    x = 6,171.07

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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.