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Finding the Fourth Proportional to 9,754.40, 14,631.60 and 3,831.90

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Solution

The fourth proportional to 9,754.40, 14,631.60 and 3,831.90 is: 5,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.40 : 14,631.60 = 3,831.90 : x
  2. Step 2: Convert to fraction form
    9,754.40/14,631.60 = 3,831.90/x
  3. Step 3: Cross multiply
    9,754.40x = 14,631.60 × 3,831.90
  4. Step 4: Simplify right side
    9,754.40x = 56,066,828.04
  5. Step 5: Solve for x
    x = 56,066,828.04/9,754.40
  6. Step 6: Final answer
    x = 5,747.85

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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.