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Finding the Fourth Proportional to 6,289.70, 9,434.57 and 1,907.19

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Solution

The fourth proportional to 6,289.70, 9,434.57 and 1,907.19 is: 2,860.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.70 : 9,434.57 = 1,907.19 : x
  2. Step 2: Convert to fraction form
    6,289.70/9,434.57 = 1,907.19/x
  3. Step 3: Cross multiply
    6,289.70x = 9,434.57 × 1,907.19
  4. Step 4: Simplify right side
    6,289.70x = 17,993,508.02
  5. Step 5: Solve for x
    x = 17,993,508.02/6,289.70
  6. Step 6: Final answer
    x = 2,860.79

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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.