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Finding the Fourth Proportional to 6,117.32, 9,162.32 and 2,820.42

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Solution

The fourth proportional to 6,117.32, 9,162.32 and 2,820.42 is: 4,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.32 : 9,162.32 = 2,820.42 : x
  2. Step 2: Convert to fraction form
    6,117.32/9,162.32 = 2,820.42/x
  3. Step 3: Cross multiply
    6,117.32x = 9,162.32 × 2,820.42
  4. Step 4: Simplify right side
    6,117.32x = 25,841,576.47
  5. Step 5: Solve for x
    x = 25,841,576.47/6,117.32
  6. Step 6: Final answer
    x = 4,224.33

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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.