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Finding the Fourth Proportional to 9,726.53, 14,597.96 and 5,049.41

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Solution

The fourth proportional to 9,726.53, 14,597.96 and 5,049.41 is: 7,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.53 : 14,597.96 = 5,049.41 : x
  2. Step 2: Convert to fraction form
    9,726.53/14,597.96 = 5,049.41/x
  3. Step 3: Cross multiply
    9,726.53x = 14,597.96 × 5,049.41
  4. Step 4: Simplify right side
    9,726.53x = 73,710,986.97
  5. Step 5: Solve for x
    x = 73,710,986.97/9,726.53
  6. Step 6: Final answer
    x = 7,578.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.