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Finding the Fourth Proportional to 7,071.04, 9,758.28 and 3,927.52

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Solution

The fourth proportional to 7,071.04, 9,758.28 and 3,927.52 is: 5,420.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.04 : 9,758.28 = 3,927.52 : x
  2. Step 2: Convert to fraction form
    7,071.04/9,758.28 = 3,927.52/x
  3. Step 3: Cross multiply
    7,071.04x = 9,758.28 × 3,927.52
  4. Step 4: Simplify right side
    7,071.04x = 38,325,839.87
  5. Step 5: Solve for x
    x = 38,325,839.87/7,071.04
  6. Step 6: Final answer
    x = 5,420.11

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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.