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Finding the Fourth Proportional to 9,823.42, 13,554.43 and 6,838.17

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Solution

The fourth proportional to 9,823.42, 13,554.43 and 6,838.17 is: 9,435.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.42 : 13,554.43 = 6,838.17 : x
  2. Step 2: Convert to fraction form
    9,823.42/13,554.43 = 6,838.17/x
  3. Step 3: Cross multiply
    9,823.42x = 13,554.43 × 6,838.17
  4. Step 4: Simplify right side
    9,823.42x = 92,687,496.59
  5. Step 5: Solve for x
    x = 92,687,496.59/9,823.42
  6. Step 6: Final answer
    x = 9,435.36

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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.