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Finding the Fourth Proportional to 6,985.60, 9,640.02 and 3,841.78

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Solution

The fourth proportional to 6,985.60, 9,640.02 and 3,841.78 is: 5,301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.60 : 9,640.02 = 3,841.78 : x
  2. Step 2: Convert to fraction form
    6,985.60/9,640.02 = 3,841.78/x
  3. Step 3: Cross multiply
    6,985.60x = 9,640.02 × 3,841.78
  4. Step 4: Simplify right side
    6,985.60x = 37,034,836.04
  5. Step 5: Solve for x
    x = 37,034,836.04/6,985.60
  6. Step 6: Final answer
    x = 5,301.60

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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.