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Finding the Fourth Proportional to 6,927.30, 9,558 and 3,901.77

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Solution

The fourth proportional to 6,927.30, 9,558 and 3,901.77 is: 5,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927.30 : 9,558 = 3,901.77 : x
  2. Step 2: Convert to fraction form
    6,927.30/9,558 = 3,901.77/x
  3. Step 3: Cross multiply
    6,927.30x = 9,558 × 3,901.77
  4. Step 4: Simplify right side
    6,927.30x = 37,293,117.66
  5. Step 5: Solve for x
    x = 37,293,117.66/6,927.30
  6. Step 6: Final answer
    x = 5,383.50

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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.