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Finding the Fourth Proportional to 9,901.86, 13,662.69 and 6,125.46

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Solution

The fourth proportional to 9,901.86, 13,662.69 and 6,125.46 is: 8,451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.86 : 13,662.69 = 6,125.46 : x
  2. Step 2: Convert to fraction form
    9,901.86/13,662.69 = 6,125.46/x
  3. Step 3: Cross multiply
    9,901.86x = 13,662.69 × 6,125.46
  4. Step 4: Simplify right side
    9,901.86x = 83,690,261.09
  5. Step 5: Solve for x
    x = 83,690,261.09/9,901.86
  6. Step 6: Final answer
    x = 8,451.97

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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.