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Finding the Fourth Proportional to 9,203.63, 13,868.09 and 8,196.58

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Solution

The fourth proportional to 9,203.63, 13,868.09 and 8,196.58 is: 12,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.63 : 13,868.09 = 8,196.58 : x
  2. Step 2: Convert to fraction form
    9,203.63/13,868.09 = 8,196.58/x
  3. Step 3: Cross multiply
    9,203.63x = 13,868.09 × 8,196.58
  4. Step 4: Simplify right side
    9,203.63x = 113,670,873.67
  5. Step 5: Solve for x
    x = 113,670,873.67/9,203.63
  6. Step 6: Final answer
    x = 12,350.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.