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Finding the Fourth Proportional to 12,291.68, 18,446.94 and 6,373.40

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Solution

The fourth proportional to 12,291.68, 18,446.94 and 6,373.40 is: 9,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.68 : 18,446.94 = 6,373.40 : x
  2. Step 2: Convert to fraction form
    12,291.68/18,446.94 = 6,373.40/x
  3. Step 3: Cross multiply
    12,291.68x = 18,446.94 × 6,373.40
  4. Step 4: Simplify right side
    12,291.68x = 117,569,727.40
  5. Step 5: Solve for x
    x = 117,569,727.40/12,291.68
  6. Step 6: Final answer
    x = 9,564.98

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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.