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Finding the Fourth Proportional to 9,883.85, 14,812.68 and 6,177.29

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Solution

The fourth proportional to 9,883.85, 14,812.68 and 6,177.29 is: 9,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.85 : 14,812.68 = 6,177.29 : x
  2. Step 2: Convert to fraction form
    9,883.85/14,812.68 = 6,177.29/x
  3. Step 3: Cross multiply
    9,883.85x = 14,812.68 × 6,177.29
  4. Step 4: Simplify right side
    9,883.85x = 91,502,220.04
  5. Step 5: Solve for x
    x = 91,502,220.04/9,883.85
  6. Step 6: Final answer
    x = 9,257.75

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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.