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Finding the Fourth Proportional to 7,061.89, 9,745.46 and 3,918.13

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Solution

The fourth proportional to 7,061.89, 9,745.46 and 3,918.13 is: 5,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.89 : 9,745.46 = 3,918.13 : x
  2. Step 2: Convert to fraction form
    7,061.89/9,745.46 = 3,918.13/x
  3. Step 3: Cross multiply
    7,061.89x = 9,745.46 × 3,918.13
  4. Step 4: Simplify right side
    7,061.89x = 38,183,979.19
  5. Step 5: Solve for x
    x = 38,183,979.19/7,061.89
  6. Step 6: Final answer
    x = 5,407.05

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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.