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Finding the Fourth Proportional to 10,385.43, 15,503.34 and 9,647.33

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Solution

The fourth proportional to 10,385.43, 15,503.34 and 9,647.33 is: 14,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.43 : 15,503.34 = 9,647.33 : x
  2. Step 2: Convert to fraction form
    10,385.43/15,503.34 = 9,647.33/x
  3. Step 3: Cross multiply
    10,385.43x = 15,503.34 × 9,647.33
  4. Step 4: Simplify right side
    10,385.43x = 149,565,759.57
  5. Step 5: Solve for x
    x = 149,565,759.57/10,385.43
  6. Step 6: Final answer
    x = 14,401.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.