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Finding the Fourth Proportional to 6,625.34, 9,142.59 and 4,074.07

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Solution

The fourth proportional to 6,625.34, 9,142.59 and 4,074.07 is: 5,621.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.34 : 9,142.59 = 4,074.07 : x
  2. Step 2: Convert to fraction form
    6,625.34/9,142.59 = 4,074.07/x
  3. Step 3: Cross multiply
    6,625.34x = 9,142.59 × 4,074.07
  4. Step 4: Simplify right side
    6,625.34x = 37,247,544.06
  5. Step 5: Solve for x
    x = 37,247,544.06/6,625.34
  6. Step 6: Final answer
    x = 5,621.98

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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.