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Finding the Fourth Proportional to 9,412.57, 14,110.21 and 3,252.25

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Solution

The fourth proportional to 9,412.57, 14,110.21 and 3,252.25 is: 4,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.57 : 14,110.21 = 3,252.25 : x
  2. Step 2: Convert to fraction form
    9,412.57/14,110.21 = 3,252.25/x
  3. Step 3: Cross multiply
    9,412.57x = 14,110.21 × 3,252.25
  4. Step 4: Simplify right side
    9,412.57x = 45,889,930.47
  5. Step 5: Solve for x
    x = 45,889,930.47/9,412.57
  6. Step 6: Final answer
    x = 4,875.39

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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.