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Finding the Fourth Proportional to 6,838.26, 9,435.06 and 4,184.70

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Solution

The fourth proportional to 6,838.26, 9,435.06 and 4,184.70 is: 5,773.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.26 : 9,435.06 = 4,184.70 : x
  2. Step 2: Convert to fraction form
    6,838.26/9,435.06 = 4,184.70/x
  3. Step 3: Cross multiply
    6,838.26x = 9,435.06 × 4,184.70
  4. Step 4: Simplify right side
    6,838.26x = 39,482,895.58
  5. Step 5: Solve for x
    x = 39,482,895.58/6,838.26
  6. Step 6: Final answer
    x = 5,773.82

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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.