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Finding the Fourth Proportional to 6,403.92, 8,844.76 and 4,275.74

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Solution

The fourth proportional to 6,403.92, 8,844.76 and 4,275.74 is: 5,905.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.92 : 8,844.76 = 4,275.74 : x
  2. Step 2: Convert to fraction form
    6,403.92/8,844.76 = 4,275.74/x
  3. Step 3: Cross multiply
    6,403.92x = 8,844.76 × 4,275.74
  4. Step 4: Simplify right side
    6,403.92x = 37,817,894.12
  5. Step 5: Solve for x
    x = 37,817,894.12/6,403.92
  6. Step 6: Final answer
    x = 5,905.43

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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.