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Finding the Fourth Proportional to 9,901.84, 13,665.36 and 8,128.48

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Solution

The fourth proportional to 9,901.84, 13,665.36 and 8,128.48 is: 11,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.84 : 13,665.36 = 8,128.48 : x
  2. Step 2: Convert to fraction form
    9,901.84/13,665.36 = 8,128.48/x
  3. Step 3: Cross multiply
    9,901.84x = 13,665.36 × 8,128.48
  4. Step 4: Simplify right side
    9,901.84x = 111,078,605.45
  5. Step 5: Solve for x
    x = 111,078,605.45/9,901.84
  6. Step 6: Final answer
    x = 11,217.98

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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.