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Finding the Fourth Proportional to 9,754.84, 13,451.28 and 7,864.42

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Solution

The fourth proportional to 9,754.84, 13,451.28 and 7,864.42 is: 10,844.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.84 : 13,451.28 = 7,864.42 : x
  2. Step 2: Convert to fraction form
    9,754.84/13,451.28 = 7,864.42/x
  3. Step 3: Cross multiply
    9,754.84x = 13,451.28 × 7,864.42
  4. Step 4: Simplify right side
    9,754.84x = 105,786,515.46
  5. Step 5: Solve for x
    x = 105,786,515.46/9,754.84
  6. Step 6: Final answer
    x = 10,844.52

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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.