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Finding the Fourth Proportional to 9,037.82, 13,559.50 and 3,114.84

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Solution

The fourth proportional to 9,037.82, 13,559.50 and 3,114.84 is: 4,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.82 : 13,559.50 = 3,114.84 : x
  2. Step 2: Convert to fraction form
    9,037.82/13,559.50 = 3,114.84/x
  3. Step 3: Cross multiply
    9,037.82x = 13,559.50 × 3,114.84
  4. Step 4: Simplify right side
    9,037.82x = 42,235,672.98
  5. Step 5: Solve for x
    x = 42,235,672.98/9,037.82
  6. Step 6: Final answer
    x = 4,673.21

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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.