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Finding the Fourth Proportional to 6,950.21, 9,590.40 and 4,262.63

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Solution

The fourth proportional to 6,950.21, 9,590.40 and 4,262.63 is: 5,881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.21 : 9,590.40 = 4,262.63 : x
  2. Step 2: Convert to fraction form
    6,950.21/9,590.40 = 4,262.63/x
  3. Step 3: Cross multiply
    6,950.21x = 9,590.40 × 4,262.63
  4. Step 4: Simplify right side
    6,950.21x = 40,880,278.80
  5. Step 5: Solve for x
    x = 40,880,278.80/6,950.21
  6. Step 6: Final answer
    x = 5,881.88

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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.