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Finding the Fourth Proportional to 9,335.40, 13,986.90 and 8,039.40

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Solution

The fourth proportional to 9,335.40, 13,986.90 and 8,039.40 is: 12,045.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.40 : 13,986.90 = 8,039.40 : x
  2. Step 2: Convert to fraction form
    9,335.40/13,986.90 = 8,039.40/x
  3. Step 3: Cross multiply
    9,335.40x = 13,986.90 × 8,039.40
  4. Step 4: Simplify right side
    9,335.40x = 112,446,283.86
  5. Step 5: Solve for x
    x = 112,446,283.86/9,335.40
  6. Step 6: Final answer
    x = 12,045.15

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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.