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Finding the Fourth Proportional to 6,201.32, 9,302.10 and 2,453

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Solution

The fourth proportional to 6,201.32, 9,302.10 and 2,453 is: 3,679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.32 : 9,302.10 = 2,453 : x
  2. Step 2: Convert to fraction form
    6,201.32/9,302.10 = 2,453/x
  3. Step 3: Cross multiply
    6,201.32x = 9,302.10 × 2,453
  4. Step 4: Simplify right side
    6,201.32x = 22,818,051.30
  5. Step 5: Solve for x
    x = 22,818,051.30/6,201.32
  6. Step 6: Final answer
    x = 3,679.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.