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Finding the Fourth Proportional to 6,442.00, 8,874.78 and 6,054.49

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Solution

The fourth proportional to 6,442.00, 8,874.78 and 6,054.49 is: 8,340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.00 : 8,874.78 = 6,054.49 : x
  2. Step 2: Convert to fraction form
    6,442.00/8,874.78 = 6,054.49/x
  3. Step 3: Cross multiply
    6,442.00x = 8,874.78 × 6,054.49
  4. Step 4: Simplify right side
    6,442.00x = 53,732,222.39
  5. Step 5: Solve for x
    x = 53,732,222.39/6,442.00
  6. Step 6: Final answer
    x = 8,340.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.