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Finding the Fourth Proportional to 10,287.90, 14,220.63 and 9,471.42

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Solution

The fourth proportional to 10,287.90, 14,220.63 and 9,471.42 is: 13,092.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.90 : 14,220.63 = 9,471.42 : x
  2. Step 2: Convert to fraction form
    10,287.90/14,220.63 = 9,471.42/x
  3. Step 3: Cross multiply
    10,287.90x = 14,220.63 × 9,471.42
  4. Step 4: Simplify right side
    10,287.90x = 134,689,559.39
  5. Step 5: Solve for x
    x = 134,689,559.39/10,287.90
  6. Step 6: Final answer
    x = 13,092.04

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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.