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Finding the Fourth Proportional to 9,719.96, 13,413.63 and 5,528.21

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Solution

The fourth proportional to 9,719.96, 13,413.63 and 5,528.21 is: 7,628.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.96 : 13,413.63 = 5,528.21 : x
  2. Step 2: Convert to fraction form
    9,719.96/13,413.63 = 5,528.21/x
  3. Step 3: Cross multiply
    9,719.96x = 13,413.63 × 5,528.21
  4. Step 4: Simplify right side
    9,719.96x = 74,153,296.43
  5. Step 5: Solve for x
    x = 74,153,296.43/9,719.96
  6. Step 6: Final answer
    x = 7,628.98

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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.