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Finding the Fourth Proportional to 9,253.80, 13,888 and 3,414.51

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Solution

The fourth proportional to 9,253.80, 13,888 and 3,414.51 is: 5,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.80 : 13,888 = 3,414.51 : x
  2. Step 2: Convert to fraction form
    9,253.80/13,888 = 3,414.51/x
  3. Step 3: Cross multiply
    9,253.80x = 13,888 × 3,414.51
  4. Step 4: Simplify right side
    9,253.80x = 47,420,714.88
  5. Step 5: Solve for x
    x = 47,420,714.88/9,253.80
  6. Step 6: Final answer
    x = 5,124.46

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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.