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Finding the Fourth Proportional to 6,526.40, 9,789.60 and 1,909.40

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Solution

The fourth proportional to 6,526.40, 9,789.60 and 1,909.40 is: 2,864.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.40 : 9,789.60 = 1,909.40 : x
  2. Step 2: Convert to fraction form
    6,526.40/9,789.60 = 1,909.40/x
  3. Step 3: Cross multiply
    6,526.40x = 9,789.60 × 1,909.40
  4. Step 4: Simplify right side
    6,526.40x = 18,692,262.24
  5. Step 5: Solve for x
    x = 18,692,262.24/6,526.40
  6. Step 6: Final answer
    x = 2,864.10

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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.