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Finding the Fourth Proportional to 7,116.62, 9,820.74 and 3,930.14

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Solution

The fourth proportional to 7,116.62, 9,820.74 and 3,930.14 is: 5,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.62 : 9,820.74 = 3,930.14 : x
  2. Step 2: Convert to fraction form
    7,116.62/9,820.74 = 3,930.14/x
  3. Step 3: Cross multiply
    7,116.62x = 9,820.74 × 3,930.14
  4. Step 4: Simplify right side
    7,116.62x = 38,596,922.39
  5. Step 5: Solve for x
    x = 38,596,922.39/7,116.62
  6. Step 6: Final answer
    x = 5,423.49

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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.