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Finding the Fourth Proportional to 9,871.44, 13,612.14 and 7,743

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Solution

The fourth proportional to 9,871.44, 13,612.14 and 7,743 is: 10,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.44 : 13,612.14 = 7,743 : x
  2. Step 2: Convert to fraction form
    9,871.44/13,612.14 = 7,743/x
  3. Step 3: Cross multiply
    9,871.44x = 13,612.14 × 7,743
  4. Step 4: Simplify right side
    9,871.44x = 105,398,800.02
  5. Step 5: Solve for x
    x = 105,398,800.02/9,871.44
  6. Step 6: Final answer
    x = 10,677.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.