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Finding the Fourth Proportional to 9,200.30, 12,695.78 and 5,008.46

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Solution

The fourth proportional to 9,200.30, 12,695.78 and 5,008.46 is: 6,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.30 : 12,695.78 = 5,008.46 : x
  2. Step 2: Convert to fraction form
    9,200.30/12,695.78 = 5,008.46/x
  3. Step 3: Cross multiply
    9,200.30x = 12,695.78 × 5,008.46
  4. Step 4: Simplify right side
    9,200.30x = 63,586,306.30
  5. Step 5: Solve for x
    x = 63,586,306.30/9,200.30
  6. Step 6: Final answer
    x = 6,911.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.