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Finding the Fourth Proportional to 9,101.08, 13,643.11 and 4,165.75

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Solution

The fourth proportional to 9,101.08, 13,643.11 and 4,165.75 is: 6,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.08 : 13,643.11 = 4,165.75 : x
  2. Step 2: Convert to fraction form
    9,101.08/13,643.11 = 4,165.75/x
  3. Step 3: Cross multiply
    9,101.08x = 13,643.11 × 4,165.75
  4. Step 4: Simplify right side
    9,101.08x = 56,833,785.48
  5. Step 5: Solve for x
    x = 56,833,785.48/9,101.08
  6. Step 6: Final answer
    x = 6,244.73

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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.