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Finding the Fourth Proportional to 6,706.86, 9,259.95 and 5,996.40

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Solution

The fourth proportional to 6,706.86, 9,259.95 and 5,996.40 is: 8,279.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.86 : 9,259.95 = 5,996.40 : x
  2. Step 2: Convert to fraction form
    6,706.86/9,259.95 = 5,996.40/x
  3. Step 3: Cross multiply
    6,706.86x = 9,259.95 × 5,996.40
  4. Step 4: Simplify right side
    6,706.86x = 55,526,364.18
  5. Step 5: Solve for x
    x = 55,526,364.18/6,706.86
  6. Step 6: Final answer
    x = 8,279.04

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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.