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Finding the Fourth Proportional to 9,844.52, 14,732.10 and 6,148.49

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Solution

The fourth proportional to 9,844.52, 14,732.10 and 6,148.49 is: 9,201.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.52 : 14,732.10 = 6,148.49 : x
  2. Step 2: Convert to fraction form
    9,844.52/14,732.10 = 6,148.49/x
  3. Step 3: Cross multiply
    9,844.52x = 14,732.10 × 6,148.49
  4. Step 4: Simplify right side
    9,844.52x = 90,580,095.87
  5. Step 5: Solve for x
    x = 90,580,095.87/9,844.52
  6. Step 6: Final answer
    x = 9,201.07

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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.