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Finding the Fourth Proportional to 9,455.64, 13,046.98 and 6,097.80

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Solution

The fourth proportional to 9,455.64, 13,046.98 and 6,097.80 is: 8,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455.64 : 13,046.98 = 6,097.80 : x
  2. Step 2: Convert to fraction form
    9,455.64/13,046.98 = 6,097.80/x
  3. Step 3: Cross multiply
    9,455.64x = 13,046.98 × 6,097.80
  4. Step 4: Simplify right side
    9,455.64x = 79,557,874.64
  5. Step 5: Solve for x
    x = 79,557,874.64/9,455.64
  6. Step 6: Final answer
    x = 8,413.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.