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Finding the Fourth Proportional to 9,004.09, 13,510.19 and 5,716.30

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Solution

The fourth proportional to 9,004.09, 13,510.19 and 5,716.30 is: 8,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004.09 : 13,510.19 = 5,716.30 : x
  2. Step 2: Convert to fraction form
    9,004.09/13,510.19 = 5,716.30/x
  3. Step 3: Cross multiply
    9,004.09x = 13,510.19 × 5,716.30
  4. Step 4: Simplify right side
    9,004.09x = 77,228,299.10
  5. Step 5: Solve for x
    x = 77,228,299.10/9,004.09
  6. Step 6: Final answer
    x = 8,577.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.