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Finding the Fourth Proportional to 6,429.40, 9,642.62 and 2,963.32

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Solution

The fourth proportional to 6,429.40, 9,642.62 and 2,963.32 is: 4,444.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.40 : 9,642.62 = 2,963.32 : x
  2. Step 2: Convert to fraction form
    6,429.40/9,642.62 = 2,963.32/x
  3. Step 3: Cross multiply
    6,429.40x = 9,642.62 × 2,963.32
  4. Step 4: Simplify right side
    6,429.40x = 28,574,168.70
  5. Step 5: Solve for x
    x = 28,574,168.70/6,429.40
  6. Step 6: Final answer
    x = 4,444.30

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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.