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Finding the Fourth Proportional to 9,801.64, 13,514.34 and 8,538.04

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Solution

The fourth proportional to 9,801.64, 13,514.34 and 8,538.04 is: 11,772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.64 : 13,514.34 = 8,538.04 : x
  2. Step 2: Convert to fraction form
    9,801.64/13,514.34 = 8,538.04/x
  3. Step 3: Cross multiply
    9,801.64x = 13,514.34 × 8,538.04
  4. Step 4: Simplify right side
    9,801.64x = 115,385,975.49
  5. Step 5: Solve for x
    x = 115,385,975.49/9,801.64
  6. Step 6: Final answer
    x = 11,772.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.