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Finding the Fourth Proportional to 9,601.16, 13,250.10 and 5,409.80

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Solution

The fourth proportional to 9,601.16, 13,250.10 and 5,409.80 is: 7,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.16 : 13,250.10 = 5,409.80 : x
  2. Step 2: Convert to fraction form
    9,601.16/13,250.10 = 5,409.80/x
  3. Step 3: Cross multiply
    9,601.16x = 13,250.10 × 5,409.80
  4. Step 4: Simplify right side
    9,601.16x = 71,680,390.98
  5. Step 5: Solve for x
    x = 71,680,390.98/9,601.16
  6. Step 6: Final answer
    x = 7,465.81

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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.