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Finding the Fourth Proportional to 6,473.30, 9,701.84 and 2,771.19

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Solution

The fourth proportional to 6,473.30, 9,701.84 and 2,771.19 is: 4,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.30 : 9,701.84 = 2,771.19 : x
  2. Step 2: Convert to fraction form
    6,473.30/9,701.84 = 2,771.19/x
  3. Step 3: Cross multiply
    6,473.30x = 9,701.84 × 2,771.19
  4. Step 4: Simplify right side
    6,473.30x = 26,885,628.13
  5. Step 5: Solve for x
    x = 26,885,628.13/6,473.30
  6. Step 6: Final answer
    x = 4,153.31

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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.