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Finding the Fourth Proportional to 9,139.70, 13,709.55 and 3,296.90

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Solution

The fourth proportional to 9,139.70, 13,709.55 and 3,296.90 is: 4,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.70 : 13,709.55 = 3,296.90 : x
  2. Step 2: Convert to fraction form
    9,139.70/13,709.55 = 3,296.90/x
  3. Step 3: Cross multiply
    9,139.70x = 13,709.55 × 3,296.90
  4. Step 4: Simplify right side
    9,139.70x = 45,199,015.40
  5. Step 5: Solve for x
    x = 45,199,015.40/9,139.70
  6. Step 6: Final answer
    x = 4,945.35

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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.