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Finding the Fourth Proportional to 9,672.70, 14,523.90 and 5,298.70

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Solution

The fourth proportional to 9,672.70, 14,523.90 and 5,298.70 is: 7,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.70 : 14,523.90 = 5,298.70 : x
  2. Step 2: Convert to fraction form
    9,672.70/14,523.90 = 5,298.70/x
  3. Step 3: Cross multiply
    9,672.70x = 14,523.90 × 5,298.70
  4. Step 4: Simplify right side
    9,672.70x = 76,957,788.93
  5. Step 5: Solve for x
    x = 76,957,788.93/9,672.70
  6. Step 6: Final answer
    x = 7,956.18

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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.