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Finding the Fourth Proportional to 10,257.66, 14,214.04 and 9,633.42

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Solution

The fourth proportional to 10,257.66, 14,214.04 and 9,633.42 is: 13,349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.66 : 14,214.04 = 9,633.42 : x
  2. Step 2: Convert to fraction form
    10,257.66/14,214.04 = 9,633.42/x
  3. Step 3: Cross multiply
    10,257.66x = 14,214.04 × 9,633.42
  4. Step 4: Simplify right side
    10,257.66x = 136,929,793.13
  5. Step 5: Solve for x
    x = 136,929,793.13/10,257.66
  6. Step 6: Final answer
    x = 13,349.03

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.