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Finding the Fourth Proportional to 7,073.86, 9,762.31 and 4,241.70

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Solution

The fourth proportional to 7,073.86, 9,762.31 and 4,241.70 is: 5,853.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.86 : 9,762.31 = 4,241.70 : x
  2. Step 2: Convert to fraction form
    7,073.86/9,762.31 = 4,241.70/x
  3. Step 3: Cross multiply
    7,073.86x = 9,762.31 × 4,241.70
  4. Step 4: Simplify right side
    7,073.86x = 41,408,720.31
  5. Step 5: Solve for x
    x = 41,408,720.31/7,073.86
  6. Step 6: Final answer
    x = 5,853.77

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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.