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Finding the Fourth Proportional to 9,393.30, 12,962.43 and 5,413.77

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Solution

The fourth proportional to 9,393.30, 12,962.43 and 5,413.77 is: 7,470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.30 : 12,962.43 = 5,413.77 : x
  2. Step 2: Convert to fraction form
    9,393.30/12,962.43 = 5,413.77/x
  3. Step 3: Cross multiply
    9,393.30x = 12,962.43 × 5,413.77
  4. Step 4: Simplify right side
    9,393.30x = 70,175,614.66
  5. Step 5: Solve for x
    x = 70,175,614.66/9,393.30
  6. Step 6: Final answer
    x = 7,470.82

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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.