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Finding the Fourth Proportional to 8,347.55, 12,496.72 and 6,166.02

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Solution

The fourth proportional to 8,347.55, 12,496.72 and 6,166.02 is: 9,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.55 : 12,496.72 = 6,166.02 : x
  2. Step 2: Convert to fraction form
    8,347.55/12,496.72 = 6,166.02/x
  3. Step 3: Cross multiply
    8,347.55x = 12,496.72 × 6,166.02
  4. Step 4: Simplify right side
    8,347.55x = 77,055,025.45
  5. Step 5: Solve for x
    x = 77,055,025.45/8,347.55
  6. Step 6: Final answer
    x = 9,230.86

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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.