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Finding the Fourth Proportional to 9,238.32, 13,855.74 and 2,484

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Solution

The fourth proportional to 9,238.32, 13,855.74 and 2,484 is: 3,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.32 : 13,855.74 = 2,484 : x
  2. Step 2: Convert to fraction form
    9,238.32/13,855.74 = 2,484/x
  3. Step 3: Cross multiply
    9,238.32x = 13,855.74 × 2,484
  4. Step 4: Simplify right side
    9,238.32x = 34,417,658.16
  5. Step 5: Solve for x
    x = 34,417,658.16/9,238.32
  6. Step 6: Final answer
    x = 3,725.53

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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.