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Finding the Fourth Proportional to 7,146.10, 9,862.23 and 4,162.21

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Solution

The fourth proportional to 7,146.10, 9,862.23 and 4,162.21 is: 5,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.10 : 9,862.23 = 4,162.21 : x
  2. Step 2: Convert to fraction form
    7,146.10/9,862.23 = 4,162.21/x
  3. Step 3: Cross multiply
    7,146.10x = 9,862.23 × 4,162.21
  4. Step 4: Simplify right side
    7,146.10x = 41,048,679.31
  5. Step 5: Solve for x
    x = 41,048,679.31/7,146.10
  6. Step 6: Final answer
    x = 5,744.21

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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.