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Finding the Fourth Proportional to 10,701.84, 16,112.28 and 9,273

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Solution

The fourth proportional to 10,701.84, 16,112.28 and 9,273 is: 13,961.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.84 : 16,112.28 = 9,273 : x
  2. Step 2: Convert to fraction form
    10,701.84/16,112.28 = 9,273/x
  3. Step 3: Cross multiply
    10,701.84x = 16,112.28 × 9,273
  4. Step 4: Simplify right side
    10,701.84x = 149,409,172.44
  5. Step 5: Solve for x
    x = 149,409,172.44/10,701.84
  6. Step 6: Final answer
    x = 13,961.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.