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Finding the Fourth Proportional to 6,291.68, 9,437.52 and 1,909.58

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Solution

The fourth proportional to 6,291.68, 9,437.52 and 1,909.58 is: 2,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.68 : 9,437.52 = 1,909.58 : x
  2. Step 2: Convert to fraction form
    6,291.68/9,437.52 = 1,909.58/x
  3. Step 3: Cross multiply
    6,291.68x = 9,437.52 × 1,909.58
  4. Step 4: Simplify right side
    6,291.68x = 18,021,699.44
  5. Step 5: Solve for x
    x = 18,021,699.44/6,291.68
  6. Step 6: Final answer
    x = 2,864.37

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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.