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Finding the Fourth Proportional to 9,148.65, 12,625.17 and 4,956.90

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Solution

The fourth proportional to 9,148.65, 12,625.17 and 4,956.90 is: 6,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.65 : 12,625.17 = 4,956.90 : x
  2. Step 2: Convert to fraction form
    9,148.65/12,625.17 = 4,956.90/x
  3. Step 3: Cross multiply
    9,148.65x = 12,625.17 × 4,956.90
  4. Step 4: Simplify right side
    9,148.65x = 62,581,705.17
  5. Step 5: Solve for x
    x = 62,581,705.17/9,148.65
  6. Step 6: Final answer
    x = 6,840.54

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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.