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Finding the Fourth Proportional to 6,209.10, 9,292.05 and 5,690.70

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Solution

The fourth proportional to 6,209.10, 9,292.05 and 5,690.70 is: 8,516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.10 : 9,292.05 = 5,690.70 : x
  2. Step 2: Convert to fraction form
    6,209.10/9,292.05 = 5,690.70/x
  3. Step 3: Cross multiply
    6,209.10x = 9,292.05 × 5,690.70
  4. Step 4: Simplify right side
    6,209.10x = 52,878,268.94
  5. Step 5: Solve for x
    x = 52,878,268.94/6,209.10
  6. Step 6: Final answer
    x = 8,516.25

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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.