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Finding the Fourth Proportional to 9,811.56, 13,544.96 and 7,568.40

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Solution

The fourth proportional to 9,811.56, 13,544.96 and 7,568.40 is: 10,448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.56 : 13,544.96 = 7,568.40 : x
  2. Step 2: Convert to fraction form
    9,811.56/13,544.96 = 7,568.40/x
  3. Step 3: Cross multiply
    9,811.56x = 13,544.96 × 7,568.40
  4. Step 4: Simplify right side
    9,811.56x = 102,513,626.46
  5. Step 5: Solve for x
    x = 102,513,626.46/9,811.56
  6. Step 6: Final answer
    x = 10,448.25

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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.