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Finding the Fourth Proportional to 9,726.11, 14,496.63 and 9,172.47

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Solution

The fourth proportional to 9,726.11, 14,496.63 and 9,172.47 is: 13,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.11 : 14,496.63 = 9,172.47 : x
  2. Step 2: Convert to fraction form
    9,726.11/14,496.63 = 9,172.47/x
  3. Step 3: Cross multiply
    9,726.11x = 14,496.63 × 9,172.47
  4. Step 4: Simplify right side
    9,726.11x = 132,969,903.78
  5. Step 5: Solve for x
    x = 132,969,903.78/9,726.11
  6. Step 6: Final answer
    x = 13,671.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.