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Finding the Fourth Proportional to 9,320.80, 12,859.44 and 5,964.16

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Solution

The fourth proportional to 9,320.80, 12,859.44 and 5,964.16 is: 8,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,320.80 : 12,859.44 = 5,964.16 : x
  2. Step 2: Convert to fraction form
    9,320.80/12,859.44 = 5,964.16/x
  3. Step 3: Cross multiply
    9,320.80x = 12,859.44 × 5,964.16
  4. Step 4: Simplify right side
    9,320.80x = 76,695,757.67
  5. Step 5: Solve for x
    x = 76,695,757.67/9,320.80
  6. Step 6: Final answer
    x = 8,228.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.