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Finding the Fourth Proportional to 7,061.96, 9,745.67 and 3,918.35

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Solution

The fourth proportional to 7,061.96, 9,745.67 and 3,918.35 is: 5,407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.96 : 9,745.67 = 3,918.35 : x
  2. Step 2: Convert to fraction form
    7,061.96/9,745.67 = 3,918.35/x
  3. Step 3: Cross multiply
    7,061.96x = 9,745.67 × 3,918.35
  4. Step 4: Simplify right side
    7,061.96x = 38,186,946.04
  5. Step 5: Solve for x
    x = 38,186,946.04/7,061.96
  6. Step 6: Final answer
    x = 5,407.41

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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.