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Finding the Fourth Proportional to 9,826.81, 13,561.29 and 6,960.67

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Solution

The fourth proportional to 9,826.81, 13,561.29 and 6,960.67 is: 9,605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.81 : 13,561.29 = 6,960.67 : x
  2. Step 2: Convert to fraction form
    9,826.81/13,561.29 = 6,960.67/x
  3. Step 3: Cross multiply
    9,826.81x = 13,561.29 × 6,960.67
  4. Step 4: Simplify right side
    9,826.81x = 94,395,630.56
  5. Step 5: Solve for x
    x = 94,395,630.56/9,826.81
  6. Step 6: Final answer
    x = 9,605.93

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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.