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Finding the Fourth Proportional to 9,901.06, 13,663.91 and 5,653.27

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Solution

The fourth proportional to 9,901.06, 13,663.91 and 5,653.27 is: 7,801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.06 : 13,663.91 = 5,653.27 : x
  2. Step 2: Convert to fraction form
    9,901.06/13,663.91 = 5,653.27/x
  3. Step 3: Cross multiply
    9,901.06x = 13,663.91 × 5,653.27
  4. Step 4: Simplify right side
    9,901.06x = 77,245,772.49
  5. Step 5: Solve for x
    x = 77,245,772.49/9,901.06
  6. Step 6: Final answer
    x = 7,801.77

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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.