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Finding the Fourth Proportional to 9,718.27, 13,408.83 and 5,468.50

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Solution

The fourth proportional to 9,718.27, 13,408.83 and 5,468.50 is: 7,545.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.27 : 13,408.83 = 5,468.50 : x
  2. Step 2: Convert to fraction form
    9,718.27/13,408.83 = 5,468.50/x
  3. Step 3: Cross multiply
    9,718.27x = 13,408.83 × 5,468.50
  4. Step 4: Simplify right side
    9,718.27x = 73,326,186.86
  5. Step 5: Solve for x
    x = 73,326,186.86/9,718.27
  6. Step 6: Final answer
    x = 7,545.19

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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.