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Finding the Fourth Proportional to 9,969.12, 14,937.21 and 4,414.14

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Solution

The fourth proportional to 9,969.12, 14,937.21 and 4,414.14 is: 6,613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.12 : 14,937.21 = 4,414.14 : x
  2. Step 2: Convert to fraction form
    9,969.12/14,937.21 = 4,414.14/x
  3. Step 3: Cross multiply
    9,969.12x = 14,937.21 × 4,414.14
  4. Step 4: Simplify right side
    9,969.12x = 65,934,936.15
  5. Step 5: Solve for x
    x = 65,934,936.15/9,969.12
  6. Step 6: Final answer
    x = 6,613.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.