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Finding the Fourth Proportional to 6,158.53, 9,243.56 and 3,042.06

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Solution

The fourth proportional to 6,158.53, 9,243.56 and 3,042.06 is: 4,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.53 : 9,243.56 = 3,042.06 : x
  2. Step 2: Convert to fraction form
    6,158.53/9,243.56 = 3,042.06/x
  3. Step 3: Cross multiply
    6,158.53x = 9,243.56 × 3,042.06
  4. Step 4: Simplify right side
    6,158.53x = 28,119,402.71
  5. Step 5: Solve for x
    x = 28,119,402.71/6,158.53
  6. Step 6: Final answer
    x = 4,565.93

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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.