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Finding the Fourth Proportional to 6,230.04, 9,304.68 and 5,643.87

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Solution

The fourth proportional to 6,230.04, 9,304.68 and 5,643.87 is: 8,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.04 : 9,304.68 = 5,643.87 : x
  2. Step 2: Convert to fraction form
    6,230.04/9,304.68 = 5,643.87/x
  3. Step 3: Cross multiply
    6,230.04x = 9,304.68 × 5,643.87
  4. Step 4: Simplify right side
    6,230.04x = 52,514,404.31
  5. Step 5: Solve for x
    x = 52,514,404.31/6,230.04
  6. Step 6: Final answer
    x = 8,429.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.