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Finding the Fourth Proportional to 6,474.55, 8,932.57 and 3,820.63

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Solution

The fourth proportional to 6,474.55, 8,932.57 and 3,820.63 is: 5,271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.55 : 8,932.57 = 3,820.63 : x
  2. Step 2: Convert to fraction form
    6,474.55/8,932.57 = 3,820.63/x
  3. Step 3: Cross multiply
    6,474.55x = 8,932.57 × 3,820.63
  4. Step 4: Simplify right side
    6,474.55x = 34,128,044.92
  5. Step 5: Solve for x
    x = 34,128,044.92/6,474.55
  6. Step 6: Final answer
    x = 5,271.11

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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.