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Finding the Fourth Proportional to 6,281.09, 9,421.84 and 3,159.39

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Solution

The fourth proportional to 6,281.09, 9,421.84 and 3,159.39 is: 4,739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.09 : 9,421.84 = 3,159.39 : x
  2. Step 2: Convert to fraction form
    6,281.09/9,421.84 = 3,159.39/x
  3. Step 3: Cross multiply
    6,281.09x = 9,421.84 × 3,159.39
  4. Step 4: Simplify right side
    6,281.09x = 29,767,251.28
  5. Step 5: Solve for x
    x = 29,767,251.28/6,281.09
  6. Step 6: Final answer
    x = 4,739.19

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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.