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Finding the Fourth Proportional to 9,251.84, 12,767.40 and 5,525.12

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Solution

The fourth proportional to 9,251.84, 12,767.40 and 5,525.12 is: 7,624.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.84 : 12,767.40 = 5,525.12 : x
  2. Step 2: Convert to fraction form
    9,251.84/12,767.40 = 5,525.12/x
  3. Step 3: Cross multiply
    9,251.84x = 12,767.40 × 5,525.12
  4. Step 4: Simplify right side
    9,251.84x = 70,541,417.09
  5. Step 5: Solve for x
    x = 70,541,417.09/9,251.84
  6. Step 6: Final answer
    x = 7,624.58

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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.