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Finding the Fourth Proportional to 9,475.84, 14,214.12 and 2,550.52

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Solution

The fourth proportional to 9,475.84, 14,214.12 and 2,550.52 is: 3,825.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.84 : 14,214.12 = 2,550.52 : x
  2. Step 2: Convert to fraction form
    9,475.84/14,214.12 = 2,550.52/x
  3. Step 3: Cross multiply
    9,475.84x = 14,214.12 × 2,550.52
  4. Step 4: Simplify right side
    9,475.84x = 36,253,397.34
  5. Step 5: Solve for x
    x = 36,253,397.34/9,475.84
  6. Step 6: Final answer
    x = 3,825.88

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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.