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Finding the Fourth Proportional to 9,752.36, 14,631.37 and 3,512.25

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Solution

The fourth proportional to 9,752.36, 14,631.37 and 3,512.25 is: 5,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.36 : 14,631.37 = 3,512.25 : x
  2. Step 2: Convert to fraction form
    9,752.36/14,631.37 = 3,512.25/x
  3. Step 3: Cross multiply
    9,752.36x = 14,631.37 × 3,512.25
  4. Step 4: Simplify right side
    9,752.36x = 51,389,020.50
  5. Step 5: Solve for x
    x = 51,389,020.50/9,752.36
  6. Step 6: Final answer
    x = 5,269.40

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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.