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Finding the Fourth Proportional to 9,224.73, 12,729.42 and 5,688

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Solution

The fourth proportional to 9,224.73, 12,729.42 and 5,688 is: 7,849.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.73 : 12,729.42 = 5,688 : x
  2. Step 2: Convert to fraction form
    9,224.73/12,729.42 = 5,688/x
  3. Step 3: Cross multiply
    9,224.73x = 12,729.42 × 5,688
  4. Step 4: Simplify right side
    9,224.73x = 72,404,940.96
  5. Step 5: Solve for x
    x = 72,404,940.96/9,224.73
  6. Step 6: Final answer
    x = 7,849.00

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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.