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Finding the Fourth Proportional to 9,295.50, 13,943.25 and 5,835.18

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Solution

The fourth proportional to 9,295.50, 13,943.25 and 5,835.18 is: 8,752.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.50 : 13,943.25 = 5,835.18 : x
  2. Step 2: Convert to fraction form
    9,295.50/13,943.25 = 5,835.18/x
  3. Step 3: Cross multiply
    9,295.50x = 13,943.25 × 5,835.18
  4. Step 4: Simplify right side
    9,295.50x = 81,361,373.54
  5. Step 5: Solve for x
    x = 81,361,373.54/9,295.50
  6. Step 6: Final answer
    x = 8,752.77

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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.