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Finding the Fourth Proportional to 27,927.46, 41,875.38 and 9,202.42

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Solution

The fourth proportional to 27,927.46, 41,875.38 and 9,202.42 is: 13,798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,927.46 : 41,875.38 = 9,202.42 : x
  2. Step 2: Convert to fraction form
    27,927.46/41,875.38 = 9,202.42/x
  3. Step 3: Cross multiply
    27,927.46x = 41,875.38 × 9,202.42
  4. Step 4: Simplify right side
    27,927.46x = 385,354,834.42
  5. Step 5: Solve for x
    x = 385,354,834.42/27,927.46
  6. Step 6: Final answer
    x = 13,798.42

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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.