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Finding the Fourth Proportional to 27,742.32, 41,604.76 and 9,270

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Solution

The fourth proportional to 27,742.32, 41,604.76 and 9,270 is: 13,902.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,742.32 : 41,604.76 = 9,270 : x
  2. Step 2: Convert to fraction form
    27,742.32/41,604.76 = 9,270/x
  3. Step 3: Cross multiply
    27,742.32x = 41,604.76 × 9,270
  4. Step 4: Simplify right side
    27,742.32x = 385,676,125.20
  5. Step 5: Solve for x
    x = 385,676,125.20/27,742.32
  6. Step 6: Final answer
    x = 13,902.09

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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.