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Finding the Fourth Proportional to 10,381.84, 14,322.80 and 6,396.04

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Solution

The fourth proportional to 10,381.84, 14,322.80 and 6,396.04 is: 8,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.84 : 14,322.80 = 6,396.04 : x
  2. Step 2: Convert to fraction form
    10,381.84/14,322.80 = 6,396.04/x
  3. Step 3: Cross multiply
    10,381.84x = 14,322.80 × 6,396.04
  4. Step 4: Simplify right side
    10,381.84x = 91,609,201.71
  5. Step 5: Solve for x
    x = 91,609,201.71/10,381.84
  6. Step 6: Final answer
    x = 8,823.99

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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.