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Finding the Fourth Proportional to 9,611.14, 13,260.32 and 7,588.16

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Solution

The fourth proportional to 9,611.14, 13,260.32 and 7,588.16 is: 10,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.14 : 13,260.32 = 7,588.16 : x
  2. Step 2: Convert to fraction form
    9,611.14/13,260.32 = 7,588.16/x
  3. Step 3: Cross multiply
    9,611.14x = 13,260.32 × 7,588.16
  4. Step 4: Simplify right side
    9,611.14x = 100,621,429.81
  5. Step 5: Solve for x
    x = 100,621,429.81/9,611.14
  6. Step 6: Final answer
    x = 10,469.25

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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.