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Finding the Fourth Proportional to 9,019.58, 12,433.77 and 5,832.63

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Solution

The fourth proportional to 9,019.58, 12,433.77 and 5,832.63 is: 8,040.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,019.58 : 12,433.77 = 5,832.63 : x
  2. Step 2: Convert to fraction form
    9,019.58/12,433.77 = 5,832.63/x
  3. Step 3: Cross multiply
    9,019.58x = 12,433.77 × 5,832.63
  4. Step 4: Simplify right side
    9,019.58x = 72,521,579.92
  5. Step 5: Solve for x
    x = 72,521,579.92/9,019.58
  6. Step 6: Final answer
    x = 8,040.47

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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.