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Finding the Fourth Proportional to 6,991.12, 9,661.56 and 5,730.16

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Solution

The fourth proportional to 6,991.12, 9,661.56 and 5,730.16 is: 7,918.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.12 : 9,661.56 = 5,730.16 : x
  2. Step 2: Convert to fraction form
    6,991.12/9,661.56 = 5,730.16/x
  3. Step 3: Cross multiply
    6,991.12x = 9,661.56 × 5,730.16
  4. Step 4: Simplify right side
    6,991.12x = 55,362,284.65
  5. Step 5: Solve for x
    x = 55,362,284.65/6,991.12
  6. Step 6: Final answer
    x = 7,918.94

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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.