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Finding the Fourth Proportional to 6,420.68, 9,620.94 and 4,963.40

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Solution

The fourth proportional to 6,420.68, 9,620.94 and 4,963.40 is: 7,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.68 : 9,620.94 = 4,963.40 : x
  2. Step 2: Convert to fraction form
    6,420.68/9,620.94 = 4,963.40/x
  3. Step 3: Cross multiply
    6,420.68x = 9,620.94 × 4,963.40
  4. Step 4: Simplify right side
    6,420.68x = 47,752,573.60
  5. Step 5: Solve for x
    x = 47,752,573.60/6,420.68
  6. Step 6: Final answer
    x = 7,437.31

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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.