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Finding the Fourth Proportional to 6,949.28, 9,588 and 4,154.24

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Solution

The fourth proportional to 6,949.28, 9,588 and 4,154.24 is: 5,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.28 : 9,588 = 4,154.24 : x
  2. Step 2: Convert to fraction form
    6,949.28/9,588 = 4,154.24/x
  3. Step 3: Cross multiply
    6,949.28x = 9,588 × 4,154.24
  4. Step 4: Simplify right side
    6,949.28x = 39,830,853.12
  5. Step 5: Solve for x
    x = 39,830,853.12/6,949.28
  6. Step 6: Final answer
    x = 5,731.65

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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.