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Finding the Fourth Proportional to 6,187.53, 9,280.38 and 1,803.81

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Solution

The fourth proportional to 6,187.53, 9,280.38 and 1,803.81 is: 2,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.53 : 9,280.38 = 1,803.81 : x
  2. Step 2: Convert to fraction form
    6,187.53/9,280.38 = 1,803.81/x
  3. Step 3: Cross multiply
    6,187.53x = 9,280.38 × 1,803.81
  4. Step 4: Simplify right side
    6,187.53x = 16,740,042.25
  5. Step 5: Solve for x
    x = 16,740,042.25/6,187.53
  6. Step 6: Final answer
    x = 2,705.45

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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.