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Finding the Fourth Proportional to 9,923.46, 14,858.52 and 5,233.71

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Solution

The fourth proportional to 9,923.46, 14,858.52 and 5,233.71 is: 7,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.46 : 14,858.52 = 5,233.71 : x
  2. Step 2: Convert to fraction form
    9,923.46/14,858.52 = 5,233.71/x
  3. Step 3: Cross multiply
    9,923.46x = 14,858.52 × 5,233.71
  4. Step 4: Simplify right side
    9,923.46x = 77,765,184.71
  5. Step 5: Solve for x
    x = 77,765,184.71/9,923.46
  6. Step 6: Final answer
    x = 7,836.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.