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Finding the Fourth Proportional to 6,838.49, 9,435.78 and 4,184.02

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Solution

The fourth proportional to 6,838.49, 9,435.78 and 4,184.02 is: 5,773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.49 : 9,435.78 = 4,184.02 : x
  2. Step 2: Convert to fraction form
    6,838.49/9,435.78 = 4,184.02/x
  3. Step 3: Cross multiply
    6,838.49x = 9,435.78 × 4,184.02
  4. Step 4: Simplify right side
    6,838.49x = 39,479,492.24
  5. Step 5: Solve for x
    x = 39,479,492.24/6,838.49
  6. Step 6: Final answer
    x = 5,773.13

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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.