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Finding the Fourth Proportional to 32,857.36, 49,286.40 and 9,484

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Solution

The fourth proportional to 32,857.36, 49,286.40 and 9,484 is: 14,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,857.36 : 49,286.40 = 9,484 : x
  2. Step 2: Convert to fraction form
    32,857.36/49,286.40 = 9,484/x
  3. Step 3: Cross multiply
    32,857.36x = 49,286.40 × 9,484
  4. Step 4: Simplify right side
    32,857.36x = 467,432,217.60
  5. Step 5: Solve for x
    x = 467,432,217.60/32,857.36
  6. Step 6: Final answer
    x = 14,226.10

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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.