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Finding the Fourth Proportional to 6,706.89, 9,254.10 and 4,053.78

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Solution

The fourth proportional to 6,706.89, 9,254.10 and 4,053.78 is: 5,593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.89 : 9,254.10 = 4,053.78 : x
  2. Step 2: Convert to fraction form
    6,706.89/9,254.10 = 4,053.78/x
  3. Step 3: Cross multiply
    6,706.89x = 9,254.10 × 4,053.78
  4. Step 4: Simplify right side
    6,706.89x = 37,514,085.50
  5. Step 5: Solve for x
    x = 37,514,085.50/6,706.89
  6. Step 6: Final answer
    x = 5,593.37

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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.