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Finding the Fourth Proportional to 9,762.38, 14,646.29 and 3,923.09

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Solution

The fourth proportional to 9,762.38, 14,646.29 and 3,923.09 is: 5,885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.38 : 14,646.29 = 3,923.09 : x
  2. Step 2: Convert to fraction form
    9,762.38/14,646.29 = 3,923.09/x
  3. Step 3: Cross multiply
    9,762.38x = 14,646.29 × 3,923.09
  4. Step 4: Simplify right side
    9,762.38x = 57,458,620.99
  5. Step 5: Solve for x
    x = 57,458,620.99/9,762.38
  6. Step 6: Final answer
    x = 5,885.72

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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.