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Finding the Fourth Proportional to 6,047.42, 9,073.13 and 2,927.82

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Solution

The fourth proportional to 6,047.42, 9,073.13 and 2,927.82 is: 4,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.42 : 9,073.13 = 2,927.82 : x
  2. Step 2: Convert to fraction form
    6,047.42/9,073.13 = 2,927.82/x
  3. Step 3: Cross multiply
    6,047.42x = 9,073.13 × 2,927.82
  4. Step 4: Simplify right side
    6,047.42x = 26,564,491.48
  5. Step 5: Solve for x
    x = 26,564,491.48/6,047.42
  6. Step 6: Final answer
    x = 4,392.70

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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.