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Finding the Fourth Proportional to 6,259.74, 9,383.13 and 2,970.33

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Solution

The fourth proportional to 6,259.74, 9,383.13 and 2,970.33 is: 4,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.74 : 9,383.13 = 2,970.33 : x
  2. Step 2: Convert to fraction form
    6,259.74/9,383.13 = 2,970.33/x
  3. Step 3: Cross multiply
    6,259.74x = 9,383.13 × 2,970.33
  4. Step 4: Simplify right side
    6,259.74x = 27,870,992.53
  5. Step 5: Solve for x
    x = 27,870,992.53/6,259.74
  6. Step 6: Final answer
    x = 4,452.42

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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.