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Finding the Fourth Proportional to 9,501.70, 14,252.55 and 4,819.90

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Solution

The fourth proportional to 9,501.70, 14,252.55 and 4,819.90 is: 7,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.70 : 14,252.55 = 4,819.90 : x
  2. Step 2: Convert to fraction form
    9,501.70/14,252.55 = 4,819.90/x
  3. Step 3: Cross multiply
    9,501.70x = 14,252.55 × 4,819.90
  4. Step 4: Simplify right side
    9,501.70x = 68,695,865.75
  5. Step 5: Solve for x
    x = 68,695,865.75/9,501.70
  6. Step 6: Final answer
    x = 7,229.85

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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.