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Finding the Fourth Proportional to 9,716.00, 13,413.20 and 6,885.72

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Solution

The fourth proportional to 9,716.00, 13,413.20 and 6,885.72 is: 9,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.00 : 13,413.20 = 6,885.72 : x
  2. Step 2: Convert to fraction form
    9,716.00/13,413.20 = 6,885.72/x
  3. Step 3: Cross multiply
    9,716.00x = 13,413.20 × 6,885.72
  4. Step 4: Simplify right side
    9,716.00x = 92,359,505.08
  5. Step 5: Solve for x
    x = 92,359,505.08/9,716.00
  6. Step 6: Final answer
    x = 9,505.92

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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.