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Finding the Fourth Proportional to 9,663.84, 13,331.34 and 6,083.10

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Solution

The fourth proportional to 9,663.84, 13,331.34 and 6,083.10 is: 8,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.84 : 13,331.34 = 6,083.10 : x
  2. Step 2: Convert to fraction form
    9,663.84/13,331.34 = 6,083.10/x
  3. Step 3: Cross multiply
    9,663.84x = 13,331.34 × 6,083.10
  4. Step 4: Simplify right side
    9,663.84x = 81,095,874.35
  5. Step 5: Solve for x
    x = 81,095,874.35/9,663.84
  6. Step 6: Final answer
    x = 8,391.68

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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.