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Finding the Fourth Proportional to 6,429.30, 9,643.95 and 3,923.70

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Solution

The fourth proportional to 6,429.30, 9,643.95 and 3,923.70 is: 5,885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.30 : 9,643.95 = 3,923.70 : x
  2. Step 2: Convert to fraction form
    6,429.30/9,643.95 = 3,923.70/x
  3. Step 3: Cross multiply
    6,429.30x = 9,643.95 × 3,923.70
  4. Step 4: Simplify right side
    6,429.30x = 37,839,966.62
  5. Step 5: Solve for x
    x = 37,839,966.62/6,429.30
  6. Step 6: Final answer
    x = 5,885.55

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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.