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Finding the Fourth Proportional to 9,123.26, 12,564.91 and 7,863.84

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Solution

The fourth proportional to 9,123.26, 12,564.91 and 7,863.84 is: 10,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.26 : 12,564.91 = 7,863.84 : x
  2. Step 2: Convert to fraction form
    9,123.26/12,564.91 = 7,863.84/x
  3. Step 3: Cross multiply
    9,123.26x = 12,564.91 × 7,863.84
  4. Step 4: Simplify right side
    9,123.26x = 98,808,441.85
  5. Step 5: Solve for x
    x = 98,808,441.85/9,123.26
  6. Step 6: Final answer
    x = 10,830.39

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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.