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Finding the Fourth Proportional to 9,202.80, 12,693.18 and 5,664.72

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Solution

The fourth proportional to 9,202.80, 12,693.18 and 5,664.72 is: 7,813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.80 : 12,693.18 = 5,664.72 : x
  2. Step 2: Convert to fraction form
    9,202.80/12,693.18 = 5,664.72/x
  3. Step 3: Cross multiply
    9,202.80x = 12,693.18 × 5,664.72
  4. Step 4: Simplify right side
    9,202.80x = 71,903,310.61
  5. Step 5: Solve for x
    x = 71,903,310.61/9,202.80
  6. Step 6: Final answer
    x = 7,813.20

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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.