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Finding the Fourth Proportional to 7,116.52, 9,820.75 and 3,930.02

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Solution

The fourth proportional to 7,116.52, 9,820.75 and 3,930.02 is: 5,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.52 : 9,820.75 = 3,930.02 : x
  2. Step 2: Convert to fraction form
    7,116.52/9,820.75 = 3,930.02/x
  3. Step 3: Cross multiply
    7,116.52x = 9,820.75 × 3,930.02
  4. Step 4: Simplify right side
    7,116.52x = 38,595,743.92
  5. Step 5: Solve for x
    x = 38,595,743.92/7,116.52
  6. Step 6: Final answer
    x = 5,423.40

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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.