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Finding the Fourth Proportional to 9,914.87, 14,867.57 and 5,756.03

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Solution

The fourth proportional to 9,914.87, 14,867.57 and 5,756.03 is: 8,631.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.87 : 14,867.57 = 5,756.03 : x
  2. Step 2: Convert to fraction form
    9,914.87/14,867.57 = 5,756.03/x
  3. Step 3: Cross multiply
    9,914.87x = 14,867.57 × 5,756.03
  4. Step 4: Simplify right side
    9,914.87x = 85,578,150.17
  5. Step 5: Solve for x
    x = 85,578,150.17/9,914.87
  6. Step 6: Final answer
    x = 8,631.29

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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.