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Finding the Fourth Proportional to 9,202.54, 13,798.16 and 4,516.60

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Solution

The fourth proportional to 9,202.54, 13,798.16 and 4,516.60 is: 6,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.54 : 13,798.16 = 4,516.60 : x
  2. Step 2: Convert to fraction form
    9,202.54/13,798.16 = 4,516.60/x
  3. Step 3: Cross multiply
    9,202.54x = 13,798.16 × 4,516.60
  4. Step 4: Simplify right side
    9,202.54x = 62,320,769.46
  5. Step 5: Solve for x
    x = 62,320,769.46/9,202.54
  6. Step 6: Final answer
    x = 6,772.13

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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.