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Finding the Fourth Proportional to 10,019.84, 13,814.78 and 6,428.44

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Solution

The fourth proportional to 10,019.84, 13,814.78 and 6,428.44 is: 8,863.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.84 : 13,814.78 = 6,428.44 : x
  2. Step 2: Convert to fraction form
    10,019.84/13,814.78 = 6,428.44/x
  3. Step 3: Cross multiply
    10,019.84x = 13,814.78 × 6,428.44
  4. Step 4: Simplify right side
    10,019.84x = 88,807,484.34
  5. Step 5: Solve for x
    x = 88,807,484.34/10,019.84
  6. Step 6: Final answer
    x = 8,863.16

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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.