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Finding the Fourth Proportional to 9,073.79, 13,615.29 and 4,142.78

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Solution

The fourth proportional to 9,073.79, 13,615.29 and 4,142.78 is: 6,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,073.79 : 13,615.29 = 4,142.78 : x
  2. Step 2: Convert to fraction form
    9,073.79/13,615.29 = 4,142.78/x
  3. Step 3: Cross multiply
    9,073.79x = 13,615.29 × 4,142.78
  4. Step 4: Simplify right side
    9,073.79x = 56,405,083.03
  5. Step 5: Solve for x
    x = 56,405,083.03/9,073.79
  6. Step 6: Final answer
    x = 6,216.27

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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.