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Finding the Fourth Proportional to 6,526.50, 9,789.78 and 1,909.50

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Solution

The fourth proportional to 6,526.50, 9,789.78 and 1,909.50 is: 2,864.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.50 : 9,789.78 = 1,909.50 : x
  2. Step 2: Convert to fraction form
    6,526.50/9,789.78 = 1,909.50/x
  3. Step 3: Cross multiply
    6,526.50x = 9,789.78 × 1,909.50
  4. Step 4: Simplify right side
    6,526.50x = 18,693,584.91
  5. Step 5: Solve for x
    x = 18,693,584.91/6,526.50
  6. Step 6: Final answer
    x = 2,864.26

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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.