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Finding the Fourth Proportional to 9,443.86, 13,002.96 and 8,024.74

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Solution

The fourth proportional to 9,443.86, 13,002.96 and 8,024.74 is: 11,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.86 : 13,002.96 = 8,024.74 : x
  2. Step 2: Convert to fraction form
    9,443.86/13,002.96 = 8,024.74/x
  3. Step 3: Cross multiply
    9,443.86x = 13,002.96 × 8,024.74
  4. Step 4: Simplify right side
    9,443.86x = 104,345,373.23
  5. Step 5: Solve for x
    x = 104,345,373.23/9,443.86
  6. Step 6: Final answer
    x = 11,049.02

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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.