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Finding the Fourth Proportional to 9,252.84, 12,769.02 and 5,061

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Solution

The fourth proportional to 9,252.84, 12,769.02 and 5,061 is: 6,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.84 : 12,769.02 = 5,061 : x
  2. Step 2: Convert to fraction form
    9,252.84/12,769.02 = 5,061/x
  3. Step 3: Cross multiply
    9,252.84x = 12,769.02 × 5,061
  4. Step 4: Simplify right side
    9,252.84x = 64,624,010.22
  5. Step 5: Solve for x
    x = 64,624,010.22/9,252.84
  6. Step 6: Final answer
    x = 6,984.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.