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Finding the Fourth Proportional to 6,943.46, 9,590.15 and 4,701.43

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Solution

The fourth proportional to 6,943.46, 9,590.15 and 4,701.43 is: 6,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.46 : 9,590.15 = 4,701.43 : x
  2. Step 2: Convert to fraction form
    6,943.46/9,590.15 = 4,701.43/x
  3. Step 3: Cross multiply
    6,943.46x = 9,590.15 × 4,701.43
  4. Step 4: Simplify right side
    6,943.46x = 45,087,362.27
  5. Step 5: Solve for x
    x = 45,087,362.27/6,943.46
  6. Step 6: Final answer
    x = 6,493.51

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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.