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Finding the Fourth Proportional to 9,446.86, 13,007.10 and 8,027.74

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Solution

The fourth proportional to 9,446.86, 13,007.10 and 8,027.74 is: 11,053.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.86 : 13,007.10 = 8,027.74 : x
  2. Step 2: Convert to fraction form
    9,446.86/13,007.10 = 8,027.74/x
  3. Step 3: Cross multiply
    9,446.86x = 13,007.10 × 8,027.74
  4. Step 4: Simplify right side
    9,446.86x = 104,417,616.95
  5. Step 5: Solve for x
    x = 104,417,616.95/9,446.86
  6. Step 6: Final answer
    x = 11,053.16

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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.