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Finding the Fourth Proportional to 9,282.50, 13,888.87 and 6,514.58

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Solution

The fourth proportional to 9,282.50, 13,888.87 and 6,514.58 is: 9,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.50 : 13,888.87 = 6,514.58 : x
  2. Step 2: Convert to fraction form
    9,282.50/13,888.87 = 6,514.58/x
  3. Step 3: Cross multiply
    9,282.50x = 13,888.87 × 6,514.58
  4. Step 4: Simplify right side
    9,282.50x = 90,480,154.72
  5. Step 5: Solve for x
    x = 90,480,154.72/9,282.50
  6. Step 6: Final answer
    x = 9,747.39

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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.