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Finding the Fourth Proportional to 6,314.13, 9,471.24 and 2,803.19

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Solution

The fourth proportional to 6,314.13, 9,471.24 and 2,803.19 is: 4,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.13 : 9,471.24 = 2,803.19 : x
  2. Step 2: Convert to fraction form
    6,314.13/9,471.24 = 2,803.19/x
  3. Step 3: Cross multiply
    6,314.13x = 9,471.24 × 2,803.19
  4. Step 4: Simplify right side
    6,314.13x = 26,549,657.40
  5. Step 5: Solve for x
    x = 26,549,657.40/6,314.13
  6. Step 6: Final answer
    x = 4,204.80

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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.