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Finding the Fourth Proportional to 9,897.80, 14,831.19 and 5,939.33

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Solution

The fourth proportional to 9,897.80, 14,831.19 and 5,939.33 is: 8,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.80 : 14,831.19 = 5,939.33 : x
  2. Step 2: Convert to fraction form
    9,897.80/14,831.19 = 5,939.33/x
  3. Step 3: Cross multiply
    9,897.80x = 14,831.19 × 5,939.33
  4. Step 4: Simplify right side
    9,897.80x = 88,087,257.55
  5. Step 5: Solve for x
    x = 88,087,257.55/9,897.80
  6. Step 6: Final answer
    x = 8,899.68

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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.