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Finding the Fourth Proportional to 9,148.62, 12,625.10 and 4,956.87

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Solution

The fourth proportional to 9,148.62, 12,625.10 and 4,956.87 is: 6,840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.62 : 12,625.10 = 4,956.87 : x
  2. Step 2: Convert to fraction form
    9,148.62/12,625.10 = 4,956.87/x
  3. Step 3: Cross multiply
    9,148.62x = 12,625.10 × 4,956.87
  4. Step 4: Simplify right side
    9,148.62x = 62,580,954.65
  5. Step 5: Solve for x
    x = 62,580,954.65/9,148.62
  6. Step 6: Final answer
    x = 6,840.48

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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.