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Finding the Fourth Proportional to 27,970.46, 41,946.78 and 9,247

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Solution

The fourth proportional to 27,970.46, 41,946.78 and 9,247 is: 13,867.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.46 : 41,946.78 = 9,247 : x
  2. Step 2: Convert to fraction form
    27,970.46/41,946.78 = 9,247/x
  3. Step 3: Cross multiply
    27,970.46x = 41,946.78 × 9,247
  4. Step 4: Simplify right side
    27,970.46x = 387,881,874.66
  5. Step 5: Solve for x
    x = 387,881,874.66/27,970.46
  6. Step 6: Final answer
    x = 13,867.55

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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.