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Finding the Fourth Proportional to 6,393.54, 9,587.06 and 2,927.82

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Solution

The fourth proportional to 6,393.54, 9,587.06 and 2,927.82 is: 4,390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.54 : 9,587.06 = 2,927.82 : x
  2. Step 2: Convert to fraction form
    6,393.54/9,587.06 = 2,927.82/x
  3. Step 3: Cross multiply
    6,393.54x = 9,587.06 × 2,927.82
  4. Step 4: Simplify right side
    6,393.54x = 28,069,171.37
  5. Step 5: Solve for x
    x = 28,069,171.37/6,393.54
  6. Step 6: Final answer
    x = 4,390.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.