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Finding the Fourth Proportional to 9,715.57, 13,413.06 and 6,533.48

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Solution

The fourth proportional to 9,715.57, 13,413.06 and 6,533.48 is: 9,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.57 : 13,413.06 = 6,533.48 : x
  2. Step 2: Convert to fraction form
    9,715.57/13,413.06 = 6,533.48/x
  3. Step 3: Cross multiply
    9,715.57x = 13,413.06 × 6,533.48
  4. Step 4: Simplify right side
    9,715.57x = 87,633,992.78
  5. Step 5: Solve for x
    x = 87,633,992.78/9,715.57
  6. Step 6: Final answer
    x = 9,019.96

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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.