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Finding the Fourth Proportional to 9,640.08, 14,460.12 and 3,797.28

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Solution

The fourth proportional to 9,640.08, 14,460.12 and 3,797.28 is: 5,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.08 : 14,460.12 = 3,797.28 : x
  2. Step 2: Convert to fraction form
    9,640.08/14,460.12 = 3,797.28/x
  3. Step 3: Cross multiply
    9,640.08x = 14,460.12 × 3,797.28
  4. Step 4: Simplify right side
    9,640.08x = 54,909,124.47
  5. Step 5: Solve for x
    x = 54,909,124.47/9,640.08
  6. Step 6: Final answer
    x = 5,695.92

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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.