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Finding the Fourth Proportional to 9,796.25, 14,695.88 and 3,220.89

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Solution

The fourth proportional to 9,796.25, 14,695.88 and 3,220.89 is: 4,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.25 : 14,695.88 = 3,220.89 : x
  2. Step 2: Convert to fraction form
    9,796.25/14,695.88 = 3,220.89/x
  3. Step 3: Cross multiply
    9,796.25x = 14,695.88 × 3,220.89
  4. Step 4: Simplify right side
    9,796.25x = 47,333,796.83
  5. Step 5: Solve for x
    x = 47,333,796.83/9,796.25
  6. Step 6: Final answer
    x = 4,831.83

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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.