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Finding the Fourth Proportional to 9,772.67, 14,661.74 and 3,203.48

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Solution

The fourth proportional to 9,772.67, 14,661.74 and 3,203.48 is: 4,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.67 : 14,661.74 = 3,203.48 : x
  2. Step 2: Convert to fraction form
    9,772.67/14,661.74 = 3,203.48/x
  3. Step 3: Cross multiply
    9,772.67x = 14,661.74 × 3,203.48
  4. Step 4: Simplify right side
    9,772.67x = 46,968,635.52
  5. Step 5: Solve for x
    x = 46,968,635.52/9,772.67
  6. Step 6: Final answer
    x = 4,806.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.