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Finding the Fourth Proportional to 9,561, 14,324.52 and 8,160.08

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Solution

The fourth proportional to 9,561, 14,324.52 and 8,160.08 is: 12,225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561 : 14,324.52 = 8,160.08 : x
  2. Step 2: Convert to fraction form
    9,561/14,324.52 = 8,160.08/x
  3. Step 3: Cross multiply
    9,561x = 14,324.52 × 8,160.08
  4. Step 4: Simplify right side
    9,561x = 116,889,229.16
  5. Step 5: Solve for x
    x = 116,889,229.16/9,561
  6. Step 6: Final answer
    x = 12,225.63

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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.