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Finding the Fourth Proportional to 9,672.12, 13,345.38 and 6,139.80

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Solution

The fourth proportional to 9,672.12, 13,345.38 and 6,139.80 is: 8,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.12 : 13,345.38 = 6,139.80 : x
  2. Step 2: Convert to fraction form
    9,672.12/13,345.38 = 6,139.80/x
  3. Step 3: Cross multiply
    9,672.12x = 13,345.38 × 6,139.80
  4. Step 4: Simplify right side
    9,672.12x = 81,937,964.12
  5. Step 5: Solve for x
    x = 81,937,964.12/9,672.12
  6. Step 6: Final answer
    x = 8,471.56

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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.