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Finding the Fourth Proportional to 6,185.87, 9,276.75 and 1,802.30

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Solution

The fourth proportional to 6,185.87, 9,276.75 and 1,802.30 is: 2,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.87 : 9,276.75 = 1,802.30 : x
  2. Step 2: Convert to fraction form
    6,185.87/9,276.75 = 1,802.30/x
  3. Step 3: Cross multiply
    6,185.87x = 9,276.75 × 1,802.30
  4. Step 4: Simplify right side
    6,185.87x = 16,719,497.39
  5. Step 5: Solve for x
    x = 16,719,497.39/6,185.87
  6. Step 6: Final answer
    x = 2,702.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.