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Finding the Fourth Proportional to 9,505.17, 14,250.47 and 5,809.14

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Solution

The fourth proportional to 9,505.17, 14,250.47 and 5,809.14 is: 8,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.17 : 14,250.47 = 5,809.14 : x
  2. Step 2: Convert to fraction form
    9,505.17/14,250.47 = 5,809.14/x
  3. Step 3: Cross multiply
    9,505.17x = 14,250.47 × 5,809.14
  4. Step 4: Simplify right side
    9,505.17x = 82,782,946.25
  5. Step 5: Solve for x
    x = 82,782,946.25/9,505.17
  6. Step 6: Final answer
    x = 8,709.25

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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.