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Finding the Fourth Proportional to 6,005.81, 9,011.96 and 2,927.81

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Solution

The fourth proportional to 6,005.81, 9,011.96 and 2,927.81 is: 4,393.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.81 : 9,011.96 = 2,927.81 : x
  2. Step 2: Convert to fraction form
    6,005.81/9,011.96 = 2,927.81/x
  3. Step 3: Cross multiply
    6,005.81x = 9,011.96 × 2,927.81
  4. Step 4: Simplify right side
    6,005.81x = 26,385,325.48
  5. Step 5: Solve for x
    x = 26,385,325.48/6,005.81
  6. Step 6: Final answer
    x = 4,393.30

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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.