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Finding the Fourth Proportional to 9,102.86, 12,550.29 and 6,116.36

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Solution

The fourth proportional to 9,102.86, 12,550.29 and 6,116.36 is: 8,432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.86 : 12,550.29 = 6,116.36 : x
  2. Step 2: Convert to fraction form
    9,102.86/12,550.29 = 6,116.36/x
  3. Step 3: Cross multiply
    9,102.86x = 12,550.29 × 6,116.36
  4. Step 4: Simplify right side
    9,102.86x = 76,762,091.74
  5. Step 5: Solve for x
    x = 76,762,091.74/9,102.86
  6. Step 6: Final answer
    x = 8,432.74

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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.