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Finding the Fourth Proportional to 6,140.94, 9,212.64 and 1,758.42

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Solution

The fourth proportional to 6,140.94, 9,212.64 and 1,758.42 is: 2,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.94 : 9,212.64 = 1,758.42 : x
  2. Step 2: Convert to fraction form
    6,140.94/9,212.64 = 1,758.42/x
  3. Step 3: Cross multiply
    6,140.94x = 9,212.64 × 1,758.42
  4. Step 4: Simplify right side
    6,140.94x = 16,199,690.43
  5. Step 5: Solve for x
    x = 16,199,690.43/6,140.94
  6. Step 6: Final answer
    x = 2,637.98

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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.