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Finding the Fourth Proportional to 8,129.86, 12,237.53 and 6,206.02

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Solution

The fourth proportional to 8,129.86, 12,237.53 and 6,206.02 is: 9,341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.86 : 12,237.53 = 6,206.02 : x
  2. Step 2: Convert to fraction form
    8,129.86/12,237.53 = 6,206.02/x
  3. Step 3: Cross multiply
    8,129.86x = 12,237.53 × 6,206.02
  4. Step 4: Simplify right side
    8,129.86x = 75,946,355.93
  5. Step 5: Solve for x
    x = 75,946,355.93/8,129.86
  6. Step 6: Final answer
    x = 9,341.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.