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Finding the Fourth Proportional to 6,186.47, 9,278.71 and 1,802.90

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Solution

The fourth proportional to 6,186.47, 9,278.71 and 1,802.90 is: 2,704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.47 : 9,278.71 = 1,802.90 : x
  2. Step 2: Convert to fraction form
    6,186.47/9,278.71 = 1,802.90/x
  3. Step 3: Cross multiply
    6,186.47x = 9,278.71 × 1,802.90
  4. Step 4: Simplify right side
    6,186.47x = 16,728,558.55
  5. Step 5: Solve for x
    x = 16,728,558.55/6,186.47
  6. Step 6: Final answer
    x = 2,704.06

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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.