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Finding the Fourth Proportional to 9,011.60, 13,524.64 and 5,716.48

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Solution

The fourth proportional to 9,011.60, 13,524.64 and 5,716.48 is: 8,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011.60 : 13,524.64 = 5,716.48 : x
  2. Step 2: Convert to fraction form
    9,011.60/13,524.64 = 5,716.48/x
  3. Step 3: Cross multiply
    9,011.60x = 13,524.64 × 5,716.48
  4. Step 4: Simplify right side
    9,011.60x = 77,313,334.07
  5. Step 5: Solve for x
    x = 77,313,334.07/9,011.60
  6. Step 6: Final answer
    x = 8,579.31

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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.