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Finding the Fourth Proportional to 6,526.13, 9,789.21 and 1,909.13

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Solution

The fourth proportional to 6,526.13, 9,789.21 and 1,909.13 is: 2,863.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.13 : 9,789.21 = 1,909.13 : x
  2. Step 2: Convert to fraction form
    6,526.13/9,789.21 = 1,909.13/x
  3. Step 3: Cross multiply
    6,526.13x = 9,789.21 × 1,909.13
  4. Step 4: Simplify right side
    6,526.13x = 18,688,825.54
  5. Step 5: Solve for x
    x = 18,688,825.54/6,526.13
  6. Step 6: Final answer
    x = 2,863.69

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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.