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Finding the Fourth Proportional to 7,034.74, 9,708.20 and 3,848.25

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Solution

The fourth proportional to 7,034.74, 9,708.20 and 3,848.25 is: 5,310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.74 : 9,708.20 = 3,848.25 : x
  2. Step 2: Convert to fraction form
    7,034.74/9,708.20 = 3,848.25/x
  3. Step 3: Cross multiply
    7,034.74x = 9,708.20 × 3,848.25
  4. Step 4: Simplify right side
    7,034.74x = 37,359,580.65
  5. Step 5: Solve for x
    x = 37,359,580.65/7,034.74
  6. Step 6: Final answer
    x = 5,310.73

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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.