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Finding the Fourth Proportional to 9,781.25, 14,662.76 and 3,537.36

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Solution

The fourth proportional to 9,781.25, 14,662.76 and 3,537.36 is: 5,302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.25 : 14,662.76 = 3,537.36 : x
  2. Step 2: Convert to fraction form
    9,781.25/14,662.76 = 3,537.36/x
  3. Step 3: Cross multiply
    9,781.25x = 14,662.76 × 3,537.36
  4. Step 4: Simplify right side
    9,781.25x = 51,867,443.03
  5. Step 5: Solve for x
    x = 51,867,443.03/9,781.25
  6. Step 6: Final answer
    x = 5,302.74

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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.