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Finding the Fourth Proportional to 9,186.53, 13,785.46 and 4,255.25

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Solution

The fourth proportional to 9,186.53, 13,785.46 and 4,255.25 is: 6,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.53 : 13,785.46 = 4,255.25 : x
  2. Step 2: Convert to fraction form
    9,186.53/13,785.46 = 4,255.25/x
  3. Step 3: Cross multiply
    9,186.53x = 13,785.46 × 4,255.25
  4. Step 4: Simplify right side
    9,186.53x = 58,660,509.74
  5. Step 5: Solve for x
    x = 58,660,509.74/9,186.53
  6. Step 6: Final answer
    x = 6,385.50

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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.