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Finding the Fourth Proportional to 9,717.68, 14,573.86 and 2,696.02

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Solution

The fourth proportional to 9,717.68, 14,573.86 and 2,696.02 is: 4,043.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.68 : 14,573.86 = 2,696.02 : x
  2. Step 2: Convert to fraction form
    9,717.68/14,573.86 = 2,696.02/x
  3. Step 3: Cross multiply
    9,717.68x = 14,573.86 × 2,696.02
  4. Step 4: Simplify right side
    9,717.68x = 39,291,418.04
  5. Step 5: Solve for x
    x = 39,291,418.04/9,717.68
  6. Step 6: Final answer
    x = 4,043.29

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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.