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Finding the Fourth Proportional to 9,197.65, 13,798.29 and 3,653.60

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Solution

The fourth proportional to 9,197.65, 13,798.29 and 3,653.60 is: 5,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.65 : 13,798.29 = 3,653.60 : x
  2. Step 2: Convert to fraction form
    9,197.65/13,798.29 = 3,653.60/x
  3. Step 3: Cross multiply
    9,197.65x = 13,798.29 × 3,653.60
  4. Step 4: Simplify right side
    9,197.65x = 50,413,432.34
  5. Step 5: Solve for x
    x = 50,413,432.34/9,197.65
  6. Step 6: Final answer
    x = 5,481.12

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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.