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Finding the Fourth Proportional to 6,419.52, 9,630.60 and 2,907.84

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Solution

The fourth proportional to 6,419.52, 9,630.60 and 2,907.84 is: 4,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.52 : 9,630.60 = 2,907.84 : x
  2. Step 2: Convert to fraction form
    6,419.52/9,630.60 = 2,907.84/x
  3. Step 3: Cross multiply
    6,419.52x = 9,630.60 × 2,907.84
  4. Step 4: Simplify right side
    6,419.52x = 28,004,243.90
  5. Step 5: Solve for x
    x = 28,004,243.90/6,419.52
  6. Step 6: Final answer
    x = 4,362.36

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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.