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Finding the Fourth Proportional to 7,142.88, 9,854.40 and 4,309.44

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Solution

The fourth proportional to 7,142.88, 9,854.40 and 4,309.44 is: 5,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.88 : 9,854.40 = 4,309.44 : x
  2. Step 2: Convert to fraction form
    7,142.88/9,854.40 = 4,309.44/x
  3. Step 3: Cross multiply
    7,142.88x = 9,854.40 × 4,309.44
  4. Step 4: Simplify right side
    7,142.88x = 42,466,945.54
  5. Step 5: Solve for x
    x = 42,466,945.54/7,142.88
  6. Step 6: Final answer
    x = 5,945.35

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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.