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Finding the Fourth Proportional to 8,267.85, 12,386.14 and 6,409.87

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Solution

The fourth proportional to 8,267.85, 12,386.14 and 6,409.87 is: 9,602.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.85 : 12,386.14 = 6,409.87 : x
  2. Step 2: Convert to fraction form
    8,267.85/12,386.14 = 6,409.87/x
  3. Step 3: Cross multiply
    8,267.85x = 12,386.14 × 6,409.87
  4. Step 4: Simplify right side
    8,267.85x = 79,393,500.21
  5. Step 5: Solve for x
    x = 79,393,500.21/8,267.85
  6. Step 6: Final answer
    x = 9,602.68

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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.