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Finding the Fourth Proportional to 6,670.38, 9,204.76 and 4,152.42

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Solution

The fourth proportional to 6,670.38, 9,204.76 and 4,152.42 is: 5,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.38 : 9,204.76 = 4,152.42 : x
  2. Step 2: Convert to fraction form
    6,670.38/9,204.76 = 4,152.42/x
  3. Step 3: Cross multiply
    6,670.38x = 9,204.76 × 4,152.42
  4. Step 4: Simplify right side
    6,670.38x = 38,222,029.52
  5. Step 5: Solve for x
    x = 38,222,029.52/6,670.38
  6. Step 6: Final answer
    x = 5,730.11

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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.