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Finding the Fourth Proportional to 9,104.25, 13,655.46 and 6,643.88

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Solution

The fourth proportional to 9,104.25, 13,655.46 and 6,643.88 is: 9,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.25 : 13,655.46 = 6,643.88 : x
  2. Step 2: Convert to fraction form
    9,104.25/13,655.46 = 6,643.88/x
  3. Step 3: Cross multiply
    9,104.25x = 13,655.46 × 6,643.88
  4. Step 4: Simplify right side
    9,104.25x = 90,725,169.31
  5. Step 5: Solve for x
    x = 90,725,169.31/9,104.25
  6. Step 6: Final answer
    x = 9,965.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.