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Finding the Fourth Proportional to 6,471.26, 9,705.08 and 1,790.16

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Solution

The fourth proportional to 6,471.26, 9,705.08 and 1,790.16 is: 2,684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.26 : 9,705.08 = 1,790.16 : x
  2. Step 2: Convert to fraction form
    6,471.26/9,705.08 = 1,790.16/x
  3. Step 3: Cross multiply
    6,471.26x = 9,705.08 × 1,790.16
  4. Step 4: Simplify right side
    6,471.26x = 17,373,646.01
  5. Step 5: Solve for x
    x = 17,373,646.01/6,471.26
  6. Step 6: Final answer
    x = 2,684.74

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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.