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Finding the Fourth Proportional to 9,601.16, 14,399.57 and 3,445.16

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Solution

The fourth proportional to 9,601.16, 14,399.57 and 3,445.16 is: 5,166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.16 : 14,399.57 = 3,445.16 : x
  2. Step 2: Convert to fraction form
    9,601.16/14,399.57 = 3,445.16/x
  3. Step 3: Cross multiply
    9,601.16x = 14,399.57 × 3,445.16
  4. Step 4: Simplify right side
    9,601.16x = 49,608,733.36
  5. Step 5: Solve for x
    x = 49,608,733.36/9,601.16
  6. Step 6: Final answer
    x = 5,166.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.