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Finding the Fourth Proportional to 9,716.01, 14,578.62 and 4,170.93

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Solution

The fourth proportional to 9,716.01, 14,578.62 and 4,170.93 is: 6,258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.01 : 14,578.62 = 4,170.93 : x
  2. Step 2: Convert to fraction form
    9,716.01/14,578.62 = 4,170.93/x
  3. Step 3: Cross multiply
    9,716.01x = 14,578.62 × 4,170.93
  4. Step 4: Simplify right side
    9,716.01x = 60,806,382.66
  5. Step 5: Solve for x
    x = 60,806,382.66/9,716.01
  6. Step 6: Final answer
    x = 6,258.37

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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.