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Finding the Fourth Proportional to 9,869.20, 14,749.22 and 8,841.31

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Solution

The fourth proportional to 9,869.20, 14,749.22 and 8,841.31 is: 13,213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.20 : 14,749.22 = 8,841.31 : x
  2. Step 2: Convert to fraction form
    9,869.20/14,749.22 = 8,841.31/x
  3. Step 3: Cross multiply
    9,869.20x = 14,749.22 × 8,841.31
  4. Step 4: Simplify right side
    9,869.20x = 130,402,361.78
  5. Step 5: Solve for x
    x = 130,402,361.78/9,869.20
  6. Step 6: Final answer
    x = 13,213.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.