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Finding the Fourth Proportional to 9,323.88, 12,871.14 and 6,138.84

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Solution

The fourth proportional to 9,323.88, 12,871.14 and 6,138.84 is: 8,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.88 : 12,871.14 = 6,138.84 : x
  2. Step 2: Convert to fraction form
    9,323.88/12,871.14 = 6,138.84/x
  3. Step 3: Cross multiply
    9,323.88x = 12,871.14 × 6,138.84
  4. Step 4: Simplify right side
    9,323.88x = 79,013,869.08
  5. Step 5: Solve for x
    x = 79,013,869.08/9,323.88
  6. Step 6: Final answer
    x = 8,474.35

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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.