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Finding the Fourth Proportional to 9,521.86, 13,165.25 and 8,339.54

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Solution

The fourth proportional to 9,521.86, 13,165.25 and 8,339.54 is: 11,530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,521.86 : 13,165.25 = 8,339.54 : x
  2. Step 2: Convert to fraction form
    9,521.86/13,165.25 = 8,339.54/x
  3. Step 3: Cross multiply
    9,521.86x = 13,165.25 × 8,339.54
  4. Step 4: Simplify right side
    9,521.86x = 109,792,087.29
  5. Step 5: Solve for x
    x = 109,792,087.29/9,521.86
  6. Step 6: Final answer
    x = 11,530.54

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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.