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Finding the Fourth Proportional to 9,822.50, 13,466.66 and 9,644.81

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Solution

The fourth proportional to 9,822.50, 13,466.66 and 9,644.81 is: 13,223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.50 : 13,466.66 = 9,644.81 : x
  2. Step 2: Convert to fraction form
    9,822.50/13,466.66 = 9,644.81/x
  3. Step 3: Cross multiply
    9,822.50x = 13,466.66 × 9,644.81
  4. Step 4: Simplify right side
    9,822.50x = 129,883,261.48
  5. Step 5: Solve for x
    x = 129,883,261.48/9,822.50
  6. Step 6: Final answer
    x = 13,223.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.