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Finding the Fourth Proportional to 9,595.54, 14,375.78 and 6,956.51

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Solution

The fourth proportional to 9,595.54, 14,375.78 and 6,956.51 is: 10,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.54 : 14,375.78 = 6,956.51 : x
  2. Step 2: Convert to fraction form
    9,595.54/14,375.78 = 6,956.51/x
  3. Step 3: Cross multiply
    9,595.54x = 14,375.78 × 6,956.51
  4. Step 4: Simplify right side
    9,595.54x = 100,005,150.67
  5. Step 5: Solve for x
    x = 100,005,150.67/9,595.54
  6. Step 6: Final answer
    x = 10,422.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.