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Finding the Fourth Proportional to 9,057.42, 13,520.16 and 8,389.63

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Solution

The fourth proportional to 9,057.42, 13,520.16 and 8,389.63 is: 12,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.42 : 13,520.16 = 8,389.63 : x
  2. Step 2: Convert to fraction form
    9,057.42/13,520.16 = 8,389.63/x
  3. Step 3: Cross multiply
    9,057.42x = 13,520.16 × 8,389.63
  4. Step 4: Simplify right side
    9,057.42x = 113,429,139.94
  5. Step 5: Solve for x
    x = 113,429,139.94/9,057.42
  6. Step 6: Final answer
    x = 12,523.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.