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Finding the Fourth Proportional to 9,490.90, 14,220.97 and 5,781.88

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Solution

The fourth proportional to 9,490.90, 14,220.97 and 5,781.88 is: 8,663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.90 : 14,220.97 = 5,781.88 : x
  2. Step 2: Convert to fraction form
    9,490.90/14,220.97 = 5,781.88/x
  3. Step 3: Cross multiply
    9,490.90x = 14,220.97 × 5,781.88
  4. Step 4: Simplify right side
    9,490.90x = 82,223,945.35
  5. Step 5: Solve for x
    x = 82,223,945.35/9,490.90
  6. Step 6: Final answer
    x = 8,663.45

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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.