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Finding the Fourth Proportional to 9,686.85, 13,342.38 and 7,444.43

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Solution

The fourth proportional to 9,686.85, 13,342.38 and 7,444.43 is: 10,253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.85 : 13,342.38 = 7,444.43 : x
  2. Step 2: Convert to fraction form
    9,686.85/13,342.38 = 7,444.43/x
  3. Step 3: Cross multiply
    9,686.85x = 13,342.38 × 7,444.43
  4. Step 4: Simplify right side
    9,686.85x = 99,326,413.94
  5. Step 5: Solve for x
    x = 99,326,413.94/9,686.85
  6. Step 6: Final answer
    x = 10,253.74

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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.