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Finding the Fourth Proportional to 7,149.34, 9,871.23 and 4,635.10

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Solution

The fourth proportional to 7,149.34, 9,871.23 and 4,635.10 is: 6,399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.34 : 9,871.23 = 4,635.10 : x
  2. Step 2: Convert to fraction form
    7,149.34/9,871.23 = 4,635.10/x
  3. Step 3: Cross multiply
    7,149.34x = 9,871.23 × 4,635.10
  4. Step 4: Simplify right side
    7,149.34x = 45,754,138.17
  5. Step 5: Solve for x
    x = 45,754,138.17/7,149.34
  6. Step 6: Final answer
    x = 6,399.77

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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.