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Finding the Fourth Proportional to 6,444.77, 8,894.09 and 4,023.57

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Solution

The fourth proportional to 6,444.77, 8,894.09 and 4,023.57 is: 5,552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.77 : 8,894.09 = 4,023.57 : x
  2. Step 2: Convert to fraction form
    6,444.77/8,894.09 = 4,023.57/x
  3. Step 3: Cross multiply
    6,444.77x = 8,894.09 × 4,023.57
  4. Step 4: Simplify right side
    6,444.77x = 35,785,976.96
  5. Step 5: Solve for x
    x = 35,785,976.96/6,444.77
  6. Step 6: Final answer
    x = 5,552.72

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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.