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Finding the Fourth Proportional to 9,139.70, 13,698.46 and 3,872.68

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Solution

The fourth proportional to 9,139.70, 13,698.46 and 3,872.68 is: 5,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.70 : 13,698.46 = 3,872.68 : x
  2. Step 2: Convert to fraction form
    9,139.70/13,698.46 = 3,872.68/x
  3. Step 3: Cross multiply
    9,139.70x = 13,698.46 × 3,872.68
  4. Step 4: Simplify right side
    9,139.70x = 53,049,752.07
  5. Step 5: Solve for x
    x = 53,049,752.07/9,139.70
  6. Step 6: Final answer
    x = 5,804.32

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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.