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Finding the Fourth Proportional to 9,555.44, 14,334.60 and 3,398

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Solution

The fourth proportional to 9,555.44, 14,334.60 and 3,398 is: 5,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,555.44 : 14,334.60 = 3,398 : x
  2. Step 2: Convert to fraction form
    9,555.44/14,334.60 = 3,398/x
  3. Step 3: Cross multiply
    9,555.44x = 14,334.60 × 3,398
  4. Step 4: Simplify right side
    9,555.44x = 48,708,970.80
  5. Step 5: Solve for x
    x = 48,708,970.80/9,555.44
  6. Step 6: Final answer
    x = 5,097.51

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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.