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Finding the Fourth Proportional to 8,823.30, 13,230.96 and 6,347.74

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Solution

The fourth proportional to 8,823.30, 13,230.96 and 6,347.74 is: 9,518.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.30 : 13,230.96 = 6,347.74 : x
  2. Step 2: Convert to fraction form
    8,823.30/13,230.96 = 6,347.74/x
  3. Step 3: Cross multiply
    8,823.30x = 13,230.96 × 6,347.74
  4. Step 4: Simplify right side
    8,823.30x = 83,986,694.03
  5. Step 5: Solve for x
    x = 83,986,694.03/8,823.30
  6. Step 6: Final answer
    x = 9,518.74

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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.