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Finding the Fourth Proportional to 9,889.86, 13,635.74 and 6,527.34

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Solution

The fourth proportional to 9,889.86, 13,635.74 and 6,527.34 is: 8,999.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.86 : 13,635.74 = 6,527.34 : x
  2. Step 2: Convert to fraction form
    9,889.86/13,635.74 = 6,527.34/x
  3. Step 3: Cross multiply
    9,889.86x = 13,635.74 × 6,527.34
  4. Step 4: Simplify right side
    9,889.86x = 89,005,078.49
  5. Step 5: Solve for x
    x = 89,005,078.49/9,889.86
  6. Step 6: Final answer
    x = 8,999.63

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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.