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Finding the Fourth Proportional to 9,143.78, 12,618.36 and 4,952

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Solution

The fourth proportional to 9,143.78, 12,618.36 and 4,952 is: 6,833.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.78 : 12,618.36 = 4,952 : x
  2. Step 2: Convert to fraction form
    9,143.78/12,618.36 = 4,952/x
  3. Step 3: Cross multiply
    9,143.78x = 12,618.36 × 4,952
  4. Step 4: Simplify right side
    9,143.78x = 62,486,118.72
  5. Step 5: Solve for x
    x = 62,486,118.72/9,143.78
  6. Step 6: Final answer
    x = 6,833.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.