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Finding the Fourth Proportional to 9,807.78, 14,711.59 and 3,234.49

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Solution

The fourth proportional to 9,807.78, 14,711.59 and 3,234.49 is: 4,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.78 : 14,711.59 = 3,234.49 : x
  2. Step 2: Convert to fraction form
    9,807.78/14,711.59 = 3,234.49/x
  3. Step 3: Cross multiply
    9,807.78x = 14,711.59 × 3,234.49
  4. Step 4: Simplify right side
    9,807.78x = 47,584,490.74
  5. Step 5: Solve for x
    x = 47,584,490.74/9,807.78
  6. Step 6: Final answer
    x = 4,851.71

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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.