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Finding the Fourth Proportional to 9,726.72, 13,424.07 and 5,534.16

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Solution

The fourth proportional to 9,726.72, 13,424.07 and 5,534.16 is: 7,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.72 : 13,424.07 = 5,534.16 : x
  2. Step 2: Convert to fraction form
    9,726.72/13,424.07 = 5,534.16/x
  3. Step 3: Cross multiply
    9,726.72x = 13,424.07 × 5,534.16
  4. Step 4: Simplify right side
    9,726.72x = 74,290,951.23
  5. Step 5: Solve for x
    x = 74,290,951.23/9,726.72
  6. Step 6: Final answer
    x = 7,637.82

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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.