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Finding the Fourth Proportional to 9,433.75, 13,018.65 and 5,899.01

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Solution

The fourth proportional to 9,433.75, 13,018.65 and 5,899.01 is: 8,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.75 : 13,018.65 = 5,899.01 : x
  2. Step 2: Convert to fraction form
    9,433.75/13,018.65 = 5,899.01/x
  3. Step 3: Cross multiply
    9,433.75x = 13,018.65 × 5,899.01
  4. Step 4: Simplify right side
    9,433.75x = 76,797,146.54
  5. Step 5: Solve for x
    x = 76,797,146.54/9,433.75
  6. Step 6: Final answer
    x = 8,140.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.