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Finding the Fourth Proportional to 9,756.87, 14,638.01 and 3,182.24

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Solution

The fourth proportional to 9,756.87, 14,638.01 and 3,182.24 is: 4,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.87 : 14,638.01 = 3,182.24 : x
  2. Step 2: Convert to fraction form
    9,756.87/14,638.01 = 3,182.24/x
  3. Step 3: Cross multiply
    9,756.87x = 14,638.01 × 3,182.24
  4. Step 4: Simplify right side
    9,756.87x = 46,581,571.84
  5. Step 5: Solve for x
    x = 46,581,571.84/9,756.87
  6. Step 6: Final answer
    x = 4,774.23

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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.