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Finding the Fourth Proportional to 6,946.47, 9,589.23 and 4,431.90

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Solution

The fourth proportional to 6,946.47, 9,589.23 and 4,431.90 is: 6,118.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.47 : 9,589.23 = 4,431.90 : x
  2. Step 2: Convert to fraction form
    6,946.47/9,589.23 = 4,431.90/x
  3. Step 3: Cross multiply
    6,946.47x = 9,589.23 × 4,431.90
  4. Step 4: Simplify right side
    6,946.47x = 42,498,508.44
  5. Step 5: Solve for x
    x = 42,498,508.44/6,946.47
  6. Step 6: Final answer
    x = 6,118.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.