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Finding the Fourth Proportional to 6,429.93, 9,643.20 and 2,730.25

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Solution

The fourth proportional to 6,429.93, 9,643.20 and 2,730.25 is: 4,094.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.93 : 9,643.20 = 2,730.25 : x
  2. Step 2: Convert to fraction form
    6,429.93/9,643.20 = 2,730.25/x
  3. Step 3: Cross multiply
    6,429.93x = 9,643.20 × 2,730.25
  4. Step 4: Simplify right side
    6,429.93x = 26,328,346.80
  5. Step 5: Solve for x
    x = 26,328,346.80/6,429.93
  6. Step 6: Final answer
    x = 4,094.66

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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.