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Finding the Fourth Proportional to 7,071.68, 9,763.80 and 4,420.28

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Solution

The fourth proportional to 7,071.68, 9,763.80 and 4,420.28 is: 6,103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.68 : 9,763.80 = 4,420.28 : x
  2. Step 2: Convert to fraction form
    7,071.68/9,763.80 = 4,420.28/x
  3. Step 3: Cross multiply
    7,071.68x = 9,763.80 × 4,420.28
  4. Step 4: Simplify right side
    7,071.68x = 43,158,729.86
  5. Step 5: Solve for x
    x = 43,158,729.86/7,071.68
  6. Step 6: Final answer
    x = 6,103.04

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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.