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Finding the Fourth Proportional to 9,238.96, 13,833.72 and 4,847.16

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Solution

The fourth proportional to 9,238.96, 13,833.72 and 4,847.16 is: 7,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.96 : 13,833.72 = 4,847.16 : x
  2. Step 2: Convert to fraction form
    9,238.96/13,833.72 = 4,847.16/x
  3. Step 3: Cross multiply
    9,238.96x = 13,833.72 × 4,847.16
  4. Step 4: Simplify right side
    9,238.96x = 67,054,254.24
  5. Step 5: Solve for x
    x = 67,054,254.24/9,238.96
  6. Step 6: Final answer
    x = 7,257.77

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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.