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Finding the Fourth Proportional to 7,101.52, 9,799.65 and 3,914.65

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Solution

The fourth proportional to 7,101.52, 9,799.65 and 3,914.65 is: 5,401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.52 : 9,799.65 = 3,914.65 : x
  2. Step 2: Convert to fraction form
    7,101.52/9,799.65 = 3,914.65/x
  3. Step 3: Cross multiply
    7,101.52x = 9,799.65 × 3,914.65
  4. Step 4: Simplify right side
    7,101.52x = 38,362,197.41
  5. Step 5: Solve for x
    x = 38,362,197.41/7,101.52
  6. Step 6: Final answer
    x = 5,401.97

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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.