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Finding the Fourth Proportional to 6,927.66, 9,563.74 and 4,095.90

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Solution

The fourth proportional to 6,927.66, 9,563.74 and 4,095.90 is: 5,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927.66 : 9,563.74 = 4,095.90 : x
  2. Step 2: Convert to fraction form
    6,927.66/9,563.74 = 4,095.90/x
  3. Step 3: Cross multiply
    6,927.66x = 9,563.74 × 4,095.90
  4. Step 4: Simplify right side
    6,927.66x = 39,172,122.67
  5. Step 5: Solve for x
    x = 39,172,122.67/6,927.66
  6. Step 6: Final answer
    x = 5,654.45

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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.