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Finding the Fourth Proportional to 9,125.71, 13,646.86 and 6,635.26

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Solution

The fourth proportional to 9,125.71, 13,646.86 and 6,635.26 is: 9,922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.71 : 13,646.86 = 6,635.26 : x
  2. Step 2: Convert to fraction form
    9,125.71/13,646.86 = 6,635.26/x
  3. Step 3: Cross multiply
    9,125.71x = 13,646.86 × 6,635.26
  4. Step 4: Simplify right side
    9,125.71x = 90,550,464.75
  5. Step 5: Solve for x
    x = 90,550,464.75/9,125.71
  6. Step 6: Final answer
    x = 9,922.57

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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.