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Finding the Fourth Proportional to 9,726.73, 13,422.93 and 5,534.98

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Solution

The fourth proportional to 9,726.73, 13,422.93 and 5,534.98 is: 7,638.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.73 : 13,422.93 = 5,534.98 : x
  2. Step 2: Convert to fraction form
    9,726.73/13,422.93 = 5,534.98/x
  3. Step 3: Cross multiply
    9,726.73x = 13,422.93 × 5,534.98
  4. Step 4: Simplify right side
    9,726.73x = 74,295,581.98
  5. Step 5: Solve for x
    x = 74,295,581.98/9,726.73
  6. Step 6: Final answer
    x = 7,638.29

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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.