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Finding the Fourth Proportional to 9,512.50, 14,256.18 and 6,888.82

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Solution

The fourth proportional to 9,512.50, 14,256.18 and 6,888.82 is: 10,324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.50 : 14,256.18 = 6,888.82 : x
  2. Step 2: Convert to fraction form
    9,512.50/14,256.18 = 6,888.82/x
  3. Step 3: Cross multiply
    9,512.50x = 14,256.18 × 6,888.82
  4. Step 4: Simplify right side
    9,512.50x = 98,208,257.91
  5. Step 5: Solve for x
    x = 98,208,257.91/9,512.50
  6. Step 6: Final answer
    x = 10,324.13

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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.