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Finding the Fourth Proportional to 9,963.53, 14,938.35 and 4,413.86

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Solution

The fourth proportional to 9,963.53, 14,938.35 and 4,413.86 is: 6,617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.53 : 14,938.35 = 4,413.86 : x
  2. Step 2: Convert to fraction form
    9,963.53/14,938.35 = 4,413.86/x
  3. Step 3: Cross multiply
    9,963.53x = 14,938.35 × 4,413.86
  4. Step 4: Simplify right side
    9,963.53x = 65,935,785.53
  5. Step 5: Solve for x
    x = 65,935,785.53/9,963.53
  6. Step 6: Final answer
    x = 6,617.71

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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.