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Finding the Fourth Proportional to 9,883.78, 14,831.14 and 4,044.49

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Solution

The fourth proportional to 9,883.78, 14,831.14 and 4,044.49 is: 6,068.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.78 : 14,831.14 = 4,044.49 : x
  2. Step 2: Convert to fraction form
    9,883.78/14,831.14 = 4,044.49/x
  3. Step 3: Cross multiply
    9,883.78x = 14,831.14 × 4,044.49
  4. Step 4: Simplify right side
    9,883.78x = 59,984,350.23
  5. Step 5: Solve for x
    x = 59,984,350.23/9,883.78
  6. Step 6: Final answer
    x = 6,068.97

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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.