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Finding the Fourth Proportional to 9,897.86, 14,839.81 and 4,963.95

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Solution

The fourth proportional to 9,897.86, 14,839.81 and 4,963.95 is: 7,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.86 : 14,839.81 = 4,963.95 : x
  2. Step 2: Convert to fraction form
    9,897.86/14,839.81 = 4,963.95/x
  3. Step 3: Cross multiply
    9,897.86x = 14,839.81 × 4,963.95
  4. Step 4: Simplify right side
    9,897.86x = 73,664,062.44
  5. Step 5: Solve for x
    x = 73,664,062.44/9,897.86
  6. Step 6: Final answer
    x = 7,442.42

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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.