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Finding the Fourth Proportional to 9,282, 13,888.12 and 6,514.08

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Solution

The fourth proportional to 9,282, 13,888.12 and 6,514.08 is: 9,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282 : 13,888.12 = 6,514.08 : x
  2. Step 2: Convert to fraction form
    9,282/13,888.12 = 6,514.08/x
  3. Step 3: Cross multiply
    9,282x = 13,888.12 × 6,514.08
  4. Step 4: Simplify right side
    9,282x = 90,468,324.73
  5. Step 5: Solve for x
    x = 90,468,324.73/9,282
  6. Step 6: Final answer
    x = 9,746.64

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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.