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Finding the Fourth Proportional to 6,294.29, 9,401.16 and 5,700.44

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Solution

The fourth proportional to 6,294.29, 9,401.16 and 5,700.44 is: 8,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.29 : 9,401.16 = 5,700.44 : x
  2. Step 2: Convert to fraction form
    6,294.29/9,401.16 = 5,700.44/x
  3. Step 3: Cross multiply
    6,294.29x = 9,401.16 × 5,700.44
  4. Step 4: Simplify right side
    6,294.29x = 53,590,701.50
  5. Step 5: Solve for x
    x = 53,590,701.50/6,294.29
  6. Step 6: Final answer
    x = 8,514.18

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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.