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Finding the Fourth Proportional to 9,881.46, 14,821.38 and 5,199.66

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Solution

The fourth proportional to 9,881.46, 14,821.38 and 5,199.66 is: 7,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.46 : 14,821.38 = 5,199.66 : x
  2. Step 2: Convert to fraction form
    9,881.46/14,821.38 = 5,199.66/x
  3. Step 3: Cross multiply
    9,881.46x = 14,821.38 × 5,199.66
  4. Step 4: Simplify right side
    9,881.46x = 77,066,136.73
  5. Step 5: Solve for x
    x = 77,066,136.73/9,881.46
  6. Step 6: Final answer
    x = 7,799.06

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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.