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Finding the Fourth Proportional to 9,208.86, 12,708.39 and 5,230.08

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Solution

The fourth proportional to 9,208.86, 12,708.39 and 5,230.08 is: 7,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.86 : 12,708.39 = 5,230.08 : x
  2. Step 2: Convert to fraction form
    9,208.86/12,708.39 = 5,230.08/x
  3. Step 3: Cross multiply
    9,208.86x = 12,708.39 × 5,230.08
  4. Step 4: Simplify right side
    9,208.86x = 66,465,896.37
  5. Step 5: Solve for x
    x = 66,465,896.37/9,208.86
  6. Step 6: Final answer
    x = 7,217.60

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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.