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Finding the Fourth Proportional to 7,114.63, 9,818.19 and 3,971.42

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Solution

The fourth proportional to 7,114.63, 9,818.19 and 3,971.42 is: 5,480.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.63 : 9,818.19 = 3,971.42 : x
  2. Step 2: Convert to fraction form
    7,114.63/9,818.19 = 3,971.42/x
  3. Step 3: Cross multiply
    7,114.63x = 9,818.19 × 3,971.42
  4. Step 4: Simplify right side
    7,114.63x = 38,992,156.13
  5. Step 5: Solve for x
    x = 38,992,156.13/7,114.63
  6. Step 6: Final answer
    x = 5,480.56

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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.