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Finding the Fourth Proportional to 9,817.19, 14,723.40 and 6,881.90

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Solution

The fourth proportional to 9,817.19, 14,723.40 and 6,881.90 is: 10,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.19 : 14,723.40 = 6,881.90 : x
  2. Step 2: Convert to fraction form
    9,817.19/14,723.40 = 6,881.90/x
  3. Step 3: Cross multiply
    9,817.19x = 14,723.40 × 6,881.90
  4. Step 4: Simplify right side
    9,817.19x = 101,324,966.46
  5. Step 5: Solve for x
    x = 101,324,966.46/9,817.19
  6. Step 6: Final answer
    x = 10,321.18

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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.