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Finding the Fourth Proportional to 6,160.12, 9,242.48 and 3,696.71

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Solution

The fourth proportional to 6,160.12, 9,242.48 and 3,696.71 is: 5,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.12 : 9,242.48 = 3,696.71 : x
  2. Step 2: Convert to fraction form
    6,160.12/9,242.48 = 3,696.71/x
  3. Step 3: Cross multiply
    6,160.12x = 9,242.48 × 3,696.71
  4. Step 4: Simplify right side
    6,160.12x = 34,166,768.24
  5. Step 5: Solve for x
    x = 34,166,768.24/6,160.12
  6. Step 6: Final answer
    x = 5,546.45

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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.