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Finding the Fourth Proportional to 7,237.85, 9,989.37 and 4,254.41

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Solution

The fourth proportional to 7,237.85, 9,989.37 and 4,254.41 is: 5,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.85 : 9,989.37 = 4,254.41 : x
  2. Step 2: Convert to fraction form
    7,237.85/9,989.37 = 4,254.41/x
  3. Step 3: Cross multiply
    7,237.85x = 9,989.37 × 4,254.41
  4. Step 4: Simplify right side
    7,237.85x = 42,498,825.67
  5. Step 5: Solve for x
    x = 42,498,825.67/7,237.85
  6. Step 6: Final answer
    x = 5,871.75

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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.