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Finding the Fourth Proportional to 9,102.11, 13,643.44 and 6,497.15

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Solution

The fourth proportional to 9,102.11, 13,643.44 and 6,497.15 is: 9,738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.11 : 13,643.44 = 6,497.15 : x
  2. Step 2: Convert to fraction form
    9,102.11/13,643.44 = 6,497.15/x
  3. Step 3: Cross multiply
    9,102.11x = 13,643.44 × 6,497.15
  4. Step 4: Simplify right side
    9,102.11x = 88,643,391.74
  5. Step 5: Solve for x
    x = 88,643,391.74/9,102.11
  6. Step 6: Final answer
    x = 9,738.78

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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.