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Finding the Fourth Proportional to 9,548.80, 13,184.16 and 6,193.60

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Solution

The fourth proportional to 9,548.80, 13,184.16 and 6,193.60 is: 8,551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.80 : 13,184.16 = 6,193.60 : x
  2. Step 2: Convert to fraction form
    9,548.80/13,184.16 = 6,193.60/x
  3. Step 3: Cross multiply
    9,548.80x = 13,184.16 × 6,193.60
  4. Step 4: Simplify right side
    9,548.80x = 81,657,413.38
  5. Step 5: Solve for x
    x = 81,657,413.38/9,548.80
  6. Step 6: Final answer
    x = 8,551.59

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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.