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Finding the Fourth Proportional to 8,269.59, 12,405.75 and 3,831.69

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Solution

The fourth proportional to 8,269.59, 12,405.75 and 3,831.69 is: 5,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.59 : 12,405.75 = 3,831.69 : x
  2. Step 2: Convert to fraction form
    8,269.59/12,405.75 = 3,831.69/x
  3. Step 3: Cross multiply
    8,269.59x = 12,405.75 × 3,831.69
  4. Step 4: Simplify right side
    8,269.59x = 47,534,988.22
  5. Step 5: Solve for x
    x = 47,534,988.22/8,269.59
  6. Step 6: Final answer
    x = 5,748.17

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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.