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Finding the Fourth Proportional to 9,142.80, 12,607.43 and 5,953.65

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Solution

The fourth proportional to 9,142.80, 12,607.43 and 5,953.65 is: 8,209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.80 : 12,607.43 = 5,953.65 : x
  2. Step 2: Convert to fraction form
    9,142.80/12,607.43 = 5,953.65/x
  3. Step 3: Cross multiply
    9,142.80x = 12,607.43 × 5,953.65
  4. Step 4: Simplify right side
    9,142.80x = 75,060,195.85
  5. Step 5: Solve for x
    x = 75,060,195.85/9,142.80
  6. Step 6: Final answer
    x = 8,209.76

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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.