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Finding the Fourth Proportional to 6,923.92, 9,543.72 and 4,824.40

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Solution

The fourth proportional to 6,923.92, 9,543.72 and 4,824.40 is: 6,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923.92 : 9,543.72 = 4,824.40 : x
  2. Step 2: Convert to fraction form
    6,923.92/9,543.72 = 4,824.40/x
  3. Step 3: Cross multiply
    6,923.92x = 9,543.72 × 4,824.40
  4. Step 4: Simplify right side
    6,923.92x = 46,042,722.77
  5. Step 5: Solve for x
    x = 46,042,722.77/6,923.92
  6. Step 6: Final answer
    x = 6,649.81

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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.