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Finding the Fourth Proportional to 8,909.86, 12,305.76 and 6,072.34

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Solution

The fourth proportional to 8,909.86, 12,305.76 and 6,072.34 is: 8,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,909.86 : 12,305.76 = 6,072.34 : x
  2. Step 2: Convert to fraction form
    8,909.86/12,305.76 = 6,072.34/x
  3. Step 3: Cross multiply
    8,909.86x = 12,305.76 × 6,072.34
  4. Step 4: Simplify right side
    8,909.86x = 74,724,758.68
  5. Step 5: Solve for x
    x = 74,724,758.68/8,909.86
  6. Step 6: Final answer
    x = 8,386.75

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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.