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Finding the Fourth Proportional to 7,142.93, 9,854.43 and 4,452.57

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Solution

The fourth proportional to 7,142.93, 9,854.43 and 4,452.57 is: 6,142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.93 : 9,854.43 = 4,452.57 : x
  2. Step 2: Convert to fraction form
    7,142.93/9,854.43 = 4,452.57/x
  3. Step 3: Cross multiply
    7,142.93x = 9,854.43 × 4,452.57
  4. Step 4: Simplify right side
    7,142.93x = 43,877,522.69
  5. Step 5: Solve for x
    x = 43,877,522.69/7,142.93
  6. Step 6: Final answer
    x = 6,142.79

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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.