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Finding the Fourth Proportional to 9,822.40, 13,553.43 and 6,046.18

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Solution

The fourth proportional to 9,822.40, 13,553.43 and 6,046.18 is: 8,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.40 : 13,553.43 = 6,046.18 : x
  2. Step 2: Convert to fraction form
    9,822.40/13,553.43 = 6,046.18/x
  3. Step 3: Cross multiply
    9,822.40x = 13,553.43 × 6,046.18
  4. Step 4: Simplify right side
    9,822.40x = 81,946,420.84
  5. Step 5: Solve for x
    x = 81,946,420.84/9,822.40
  6. Step 6: Final answer
    x = 8,342.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.