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Finding the Fourth Proportional to 9,315.32, 12,855.20 and 5,066.42

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Solution

The fourth proportional to 9,315.32, 12,855.20 and 5,066.42 is: 6,991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.32 : 12,855.20 = 5,066.42 : x
  2. Step 2: Convert to fraction form
    9,315.32/12,855.20 = 5,066.42/x
  3. Step 3: Cross multiply
    9,315.32x = 12,855.20 × 5,066.42
  4. Step 4: Simplify right side
    9,315.32x = 65,129,842.38
  5. Step 5: Solve for x
    x = 65,129,842.38/9,315.32
  6. Step 6: Final answer
    x = 6,991.69

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Why These Related Problems?

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