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Finding the Fourth Proportional to 9,216.47, 13,765.96 and 8,337.62

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Solution

The fourth proportional to 9,216.47, 13,765.96 and 8,337.62 is: 12,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.47 : 13,765.96 = 8,337.62 : x
  2. Step 2: Convert to fraction form
    9,216.47/13,765.96 = 8,337.62/x
  3. Step 3: Cross multiply
    9,216.47x = 13,765.96 × 8,337.62
  4. Step 4: Simplify right side
    9,216.47x = 114,775,343.42
  5. Step 5: Solve for x
    x = 114,775,343.42/9,216.47
  6. Step 6: Final answer
    x = 12,453.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.