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Finding the Fourth Proportional to 11,897.16, 17,767.64 and 9,560.73

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Solution

The fourth proportional to 11,897.16, 17,767.64 and 9,560.73 is: 14,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.16 : 17,767.64 = 9,560.73 : x
  2. Step 2: Convert to fraction form
    11,897.16/17,767.64 = 9,560.73/x
  3. Step 3: Cross multiply
    11,897.16x = 17,767.64 × 9,560.73
  4. Step 4: Simplify right side
    11,897.16x = 169,871,560.97
  5. Step 5: Solve for x
    x = 169,871,560.97/11,897.16
  6. Step 6: Final answer
    x = 14,278.33

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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.