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Finding the Fourth Proportional to 9,355.71, 14,033.37 and 5,412.90

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Solution

The fourth proportional to 9,355.71, 14,033.37 and 5,412.90 is: 8,119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.71 : 14,033.37 = 5,412.90 : x
  2. Step 2: Convert to fraction form
    9,355.71/14,033.37 = 5,412.90/x
  3. Step 3: Cross multiply
    9,355.71x = 14,033.37 × 5,412.90
  4. Step 4: Simplify right side
    9,355.71x = 75,961,228.47
  5. Step 5: Solve for x
    x = 75,961,228.47/9,355.71
  6. Step 6: Final answer
    x = 8,119.24

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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.