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Finding the Fourth Proportional to 8,406.18, 12,597.93 and 3,209.22

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Solution

The fourth proportional to 8,406.18, 12,597.93 and 3,209.22 is: 4,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.18 : 12,597.93 = 3,209.22 : x
  2. Step 2: Convert to fraction form
    8,406.18/12,597.93 = 3,209.22/x
  3. Step 3: Cross multiply
    8,406.18x = 12,597.93 × 3,209.22
  4. Step 4: Simplify right side
    8,406.18x = 40,429,528.91
  5. Step 5: Solve for x
    x = 40,429,528.91/8,406.18
  6. Step 6: Final answer
    x = 4,809.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.