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Finding the Fourth Proportional to 9,238.86, 13,856.47 and 3,315.58

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Solution

The fourth proportional to 9,238.86, 13,856.47 and 3,315.58 is: 4,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.86 : 13,856.47 = 3,315.58 : x
  2. Step 2: Convert to fraction form
    9,238.86/13,856.47 = 3,315.58/x
  3. Step 3: Cross multiply
    9,238.86x = 13,856.47 × 3,315.58
  4. Step 4: Simplify right side
    9,238.86x = 45,942,269.82
  5. Step 5: Solve for x
    x = 45,942,269.82/9,238.86
  6. Step 6: Final answer
    x = 4,972.72

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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.