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Finding the Fourth Proportional to 9,726.74, 13,424.18 and 5,478.63

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Solution

The fourth proportional to 9,726.74, 13,424.18 and 5,478.63 is: 7,561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.74 : 13,424.18 = 5,478.63 : x
  2. Step 2: Convert to fraction form
    9,726.74/13,424.18 = 5,478.63/x
  3. Step 3: Cross multiply
    9,726.74x = 13,424.18 × 5,478.63
  4. Step 4: Simplify right side
    9,726.74x = 73,546,087.88
  5. Step 5: Solve for x
    x = 73,546,087.88/9,726.74
  6. Step 6: Final answer
    x = 7,561.23

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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.