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Finding the Fourth Proportional to 7,127.42, 9,823.41 and 6,128.69

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Solution

The fourth proportional to 7,127.42, 9,823.41 and 6,128.69 is: 8,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.42 : 9,823.41 = 6,128.69 : x
  2. Step 2: Convert to fraction form
    7,127.42/9,823.41 = 6,128.69/x
  3. Step 3: Cross multiply
    7,127.42x = 9,823.41 × 6,128.69
  4. Step 4: Simplify right side
    7,127.42x = 60,204,585.52
  5. Step 5: Solve for x
    x = 60,204,585.52/7,127.42
  6. Step 6: Final answer
    x = 8,446.90

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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.