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Finding the Fourth Proportional to 9,004.59, 13,510.94 and 5,716.80

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Solution

The fourth proportional to 9,004.59, 13,510.94 and 5,716.80 is: 8,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004.59 : 13,510.94 = 5,716.80 : x
  2. Step 2: Convert to fraction form
    9,004.59/13,510.94 = 5,716.80/x
  3. Step 3: Cross multiply
    9,004.59x = 13,510.94 × 5,716.80
  4. Step 4: Simplify right side
    9,004.59x = 77,239,313.21
  5. Step 5: Solve for x
    x = 77,239,313.21/9,004.59
  6. Step 6: Final answer
    x = 8,577.77

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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.