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Finding the Fourth Proportional to 7,114.68, 9,818.82 and 4,131.45

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Solution

The fourth proportional to 7,114.68, 9,818.82 and 4,131.45 is: 5,701.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.68 : 9,818.82 = 4,131.45 : x
  2. Step 2: Convert to fraction form
    7,114.68/9,818.82 = 4,131.45/x
  3. Step 3: Cross multiply
    7,114.68x = 9,818.82 × 4,131.45
  4. Step 4: Simplify right side
    7,114.68x = 40,565,963.89
  5. Step 5: Solve for x
    x = 40,565,963.89/7,114.68
  6. Step 6: Final answer
    x = 5,701.73

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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.