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Finding the Fourth Proportional to 9,819.72, 14,726.40 and 3,244.40

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Solution

The fourth proportional to 9,819.72, 14,726.40 and 3,244.40 is: 4,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.72 : 14,726.40 = 3,244.40 : x
  2. Step 2: Convert to fraction form
    9,819.72/14,726.40 = 3,244.40/x
  3. Step 3: Cross multiply
    9,819.72x = 14,726.40 × 3,244.40
  4. Step 4: Simplify right side
    9,819.72x = 47,778,332.16
  5. Step 5: Solve for x
    x = 47,778,332.16/9,819.72
  6. Step 6: Final answer
    x = 4,865.55

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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.