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Finding the Fourth Proportional to 9,500.64, 14,251.02 and 2,926.81

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Solution

The fourth proportional to 9,500.64, 14,251.02 and 2,926.81 is: 4,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.64 : 14,251.02 = 2,926.81 : x
  2. Step 2: Convert to fraction form
    9,500.64/14,251.02 = 2,926.81/x
  3. Step 3: Cross multiply
    9,500.64x = 14,251.02 × 2,926.81
  4. Step 4: Simplify right side
    9,500.64x = 41,710,027.85
  5. Step 5: Solve for x
    x = 41,710,027.85/9,500.64
  6. Step 6: Final answer
    x = 4,390.23

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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.