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Finding the Fourth Proportional to 9,831.98, 14,673.68 and 9,165.37

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Solution

The fourth proportional to 9,831.98, 14,673.68 and 9,165.37 is: 13,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.98 : 14,673.68 = 9,165.37 : x
  2. Step 2: Convert to fraction form
    9,831.98/14,673.68 = 9,165.37/x
  3. Step 3: Cross multiply
    9,831.98x = 14,673.68 × 9,165.37
  4. Step 4: Simplify right side
    9,831.98x = 134,489,692.69
  5. Step 5: Solve for x
    x = 134,489,692.69/9,831.98
  6. Step 6: Final answer
    x = 13,678.81

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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.