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Finding the Fourth Proportional to 7,155.14, 9,874.31 and 4,323.43

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Solution

The fourth proportional to 7,155.14, 9,874.31 and 4,323.43 is: 5,966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.14 : 9,874.31 = 4,323.43 : x
  2. Step 2: Convert to fraction form
    7,155.14/9,874.31 = 4,323.43/x
  3. Step 3: Cross multiply
    7,155.14x = 9,874.31 × 4,323.43
  4. Step 4: Simplify right side
    7,155.14x = 42,690,823.27
  5. Step 5: Solve for x
    x = 42,690,823.27/7,155.14
  6. Step 6: Final answer
    x = 5,966.46

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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.