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Finding the Fourth Proportional to 9,912, 14,856.48 and 4,061.52

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Solution

The fourth proportional to 9,912, 14,856.48 and 4,061.52 is: 6,087.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912 : 14,856.48 = 4,061.52 : x
  2. Step 2: Convert to fraction form
    9,912/14,856.48 = 4,061.52/x
  3. Step 3: Cross multiply
    9,912x = 14,856.48 × 4,061.52
  4. Step 4: Simplify right side
    9,912x = 60,339,890.65
  5. Step 5: Solve for x
    x = 60,339,890.65/9,912
  6. Step 6: Final answer
    x = 6,087.56

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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.