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Finding the Fourth Proportional to 9,104.40, 13,640.40 and 8,562.24

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Solution

The fourth proportional to 9,104.40, 13,640.40 and 8,562.24 is: 12,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.40 : 13,640.40 = 8,562.24 : x
  2. Step 2: Convert to fraction form
    9,104.40/13,640.40 = 8,562.24/x
  3. Step 3: Cross multiply
    9,104.40x = 13,640.40 × 8,562.24
  4. Step 4: Simplify right side
    9,104.40x = 116,792,378.50
  5. Step 5: Solve for x
    x = 116,792,378.50/9,104.40
  6. Step 6: Final answer
    x = 12,828.12

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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.