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Finding the Fourth Proportional to 9,717.08, 13,407.66 and 5,739.44

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Solution

The fourth proportional to 9,717.08, 13,407.66 and 5,739.44 is: 7,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.08 : 13,407.66 = 5,739.44 : x
  2. Step 2: Convert to fraction form
    9,717.08/13,407.66 = 5,739.44/x
  3. Step 3: Cross multiply
    9,717.08x = 13,407.66 × 5,739.44
  4. Step 4: Simplify right side
    9,717.08x = 76,952,460.11
  5. Step 5: Solve for x
    x = 76,952,460.11/9,717.08
  6. Step 6: Final answer
    x = 7,919.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.