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Finding the Fourth Proportional to 6,483.92, 9,733.56 and 4,640.72

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Solution

The fourth proportional to 6,483.92, 9,733.56 and 4,640.72 is: 6,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.92 : 9,733.56 = 4,640.72 : x
  2. Step 2: Convert to fraction form
    6,483.92/9,733.56 = 4,640.72/x
  3. Step 3: Cross multiply
    6,483.92x = 9,733.56 × 4,640.72
  4. Step 4: Simplify right side
    6,483.92x = 45,170,726.56
  5. Step 5: Solve for x
    x = 45,170,726.56/6,483.92
  6. Step 6: Final answer
    x = 6,966.58

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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.