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Finding the Fourth Proportional to 9,754.53, 13,462.66 and 6,402.34

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Solution

The fourth proportional to 9,754.53, 13,462.66 and 6,402.34 is: 8,836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.53 : 13,462.66 = 6,402.34 : x
  2. Step 2: Convert to fraction form
    9,754.53/13,462.66 = 6,402.34/x
  3. Step 3: Cross multiply
    9,754.53x = 13,462.66 × 6,402.34
  4. Step 4: Simplify right side
    9,754.53x = 86,192,515.44
  5. Step 5: Solve for x
    x = 86,192,515.44/9,754.53
  6. Step 6: Final answer
    x = 8,836.16

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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.