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Finding the Fourth Proportional to 6,429.20, 9,643.80 and 5,046.80

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Solution

The fourth proportional to 6,429.20, 9,643.80 and 5,046.80 is: 7,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.20 : 9,643.80 = 5,046.80 : x
  2. Step 2: Convert to fraction form
    6,429.20/9,643.80 = 5,046.80/x
  3. Step 3: Cross multiply
    6,429.20x = 9,643.80 × 5,046.80
  4. Step 4: Simplify right side
    6,429.20x = 48,670,329.84
  5. Step 5: Solve for x
    x = 48,670,329.84/6,429.20
  6. Step 6: Final answer
    x = 7,570.20

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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.