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Finding the Fourth Proportional to 9,548.71, 13,165.09 and 6,826.50

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Solution

The fourth proportional to 9,548.71, 13,165.09 and 6,826.50 is: 9,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.71 : 13,165.09 = 6,826.50 : x
  2. Step 2: Convert to fraction form
    9,548.71/13,165.09 = 6,826.50/x
  3. Step 3: Cross multiply
    9,548.71x = 13,165.09 × 6,826.50
  4. Step 4: Simplify right side
    9,548.71x = 89,871,469.82
  5. Step 5: Solve for x
    x = 89,871,469.82/9,548.71
  6. Step 6: Final answer
    x = 9,411.90

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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.