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Finding the Fourth Proportional to 9,293.74, 12,825.07 and 5,044.60

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Solution

The fourth proportional to 9,293.74, 12,825.07 and 5,044.60 is: 6,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.74 : 12,825.07 = 5,044.60 : x
  2. Step 2: Convert to fraction form
    9,293.74/12,825.07 = 5,044.60/x
  3. Step 3: Cross multiply
    9,293.74x = 12,825.07 × 5,044.60
  4. Step 4: Simplify right side
    9,293.74x = 64,697,348.12
  5. Step 5: Solve for x
    x = 64,697,348.12/9,293.74
  6. Step 6: Final answer
    x = 6,961.39

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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.