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Finding the Fourth Proportional to 6,838.76, 9,435.75 and 4,185.20

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Solution

The fourth proportional to 6,838.76, 9,435.75 and 4,185.20 is: 5,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.76 : 9,435.75 = 4,185.20 : x
  2. Step 2: Convert to fraction form
    6,838.76/9,435.75 = 4,185.20/x
  3. Step 3: Cross multiply
    6,838.76x = 9,435.75 × 4,185.20
  4. Step 4: Simplify right side
    6,838.76x = 39,490,500.90
  5. Step 5: Solve for x
    x = 39,490,500.90/6,838.76
  6. Step 6: Final answer
    x = 5,774.51

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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.