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Finding the Fourth Proportional to 6,182.16, 9,262.42 and 5,148.81

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Solution

The fourth proportional to 6,182.16, 9,262.42 and 5,148.81 is: 7,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.16 : 9,262.42 = 5,148.81 : x
  2. Step 2: Convert to fraction form
    6,182.16/9,262.42 = 5,148.81/x
  3. Step 3: Cross multiply
    6,182.16x = 9,262.42 × 5,148.81
  4. Step 4: Simplify right side
    6,182.16x = 47,690,440.72
  5. Step 5: Solve for x
    x = 47,690,440.72/6,182.16
  6. Step 6: Final answer
    x = 7,714.20

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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.