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Finding the Fourth Proportional to 9,201.54, 12,693.81 and 5,663.46

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Solution

The fourth proportional to 9,201.54, 12,693.81 and 5,663.46 is: 7,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.54 : 12,693.81 = 5,663.46 : x
  2. Step 2: Convert to fraction form
    9,201.54/12,693.81 = 5,663.46/x
  3. Step 3: Cross multiply
    9,201.54x = 12,693.81 × 5,663.46
  4. Step 4: Simplify right side
    9,201.54x = 71,890,885.18
  5. Step 5: Solve for x
    x = 71,890,885.18/9,201.54
  6. Step 6: Final answer
    x = 7,812.92

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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.