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Finding the Fourth Proportional to 7,165.28, 9,884.88 and 4,648.20

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Solution

The fourth proportional to 7,165.28, 9,884.88 and 4,648.20 is: 6,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.28 : 9,884.88 = 4,648.20 : x
  2. Step 2: Convert to fraction form
    7,165.28/9,884.88 = 4,648.20/x
  3. Step 3: Cross multiply
    7,165.28x = 9,884.88 × 4,648.20
  4. Step 4: Simplify right side
    7,165.28x = 45,946,899.22
  5. Step 5: Solve for x
    x = 45,946,899.22/7,165.28
  6. Step 6: Final answer
    x = 6,412.44

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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.