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Finding the Fourth Proportional to 9,104.10, 13,646.44 and 6,499.14

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Solution

The fourth proportional to 9,104.10, 13,646.44 and 6,499.14 is: 9,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.10 : 13,646.44 = 6,499.14 : x
  2. Step 2: Convert to fraction form
    9,104.10/13,646.44 = 6,499.14/x
  3. Step 3: Cross multiply
    9,104.10x = 13,646.44 × 6,499.14
  4. Step 4: Simplify right side
    9,104.10x = 88,690,124.06
  5. Step 5: Solve for x
    x = 88,690,124.06/9,104.10
  6. Step 6: Final answer
    x = 9,741.78

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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.