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Finding the Fourth Proportional to 7,071.32, 9,758.74 and 4,239.16

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Solution

The fourth proportional to 7,071.32, 9,758.74 and 4,239.16 is: 5,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.32 : 9,758.74 = 4,239.16 : x
  2. Step 2: Convert to fraction form
    7,071.32/9,758.74 = 4,239.16/x
  3. Step 3: Cross multiply
    7,071.32x = 9,758.74 × 4,239.16
  4. Step 4: Simplify right side
    7,071.32x = 41,368,860.26
  5. Step 5: Solve for x
    x = 41,368,860.26/7,071.32
  6. Step 6: Final answer
    x = 5,850.23

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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.