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Finding the Fourth Proportional to 7,071.74, 9,759.77 and 4,047.14

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Solution

The fourth proportional to 7,071.74, 9,759.77 and 4,047.14 is: 5,585.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.74 : 9,759.77 = 4,047.14 : x
  2. Step 2: Convert to fraction form
    7,071.74/9,759.77 = 4,047.14/x
  3. Step 3: Cross multiply
    7,071.74x = 9,759.77 × 4,047.14
  4. Step 4: Simplify right side
    7,071.74x = 39,499,086.52
  5. Step 5: Solve for x
    x = 39,499,086.52/7,071.74
  6. Step 6: Final answer
    x = 5,585.49

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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.