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Finding the Fourth Proportional to 6,200.46, 9,300.69 and 5,102.52

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Solution

The fourth proportional to 6,200.46, 9,300.69 and 5,102.52 is: 7,653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.46 : 9,300.69 = 5,102.52 : x
  2. Step 2: Convert to fraction form
    6,200.46/9,300.69 = 5,102.52/x
  3. Step 3: Cross multiply
    6,200.46x = 9,300.69 × 5,102.52
  4. Step 4: Simplify right side
    6,200.46x = 47,456,956.74
  5. Step 5: Solve for x
    x = 47,456,956.74/6,200.46
  6. Step 6: Final answer
    x = 7,653.78

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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.