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Finding the Fourth Proportional to 6,706.00, 9,254.43 and 3,721.77

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Solution

The fourth proportional to 6,706.00, 9,254.43 and 3,721.77 is: 5,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.00 : 9,254.43 = 3,721.77 : x
  2. Step 2: Convert to fraction form
    6,706.00/9,254.43 = 3,721.77/x
  3. Step 3: Cross multiply
    6,706.00x = 9,254.43 × 3,721.77
  4. Step 4: Simplify right side
    6,706.00x = 34,442,875.50
  5. Step 5: Solve for x
    x = 34,442,875.50/6,706.00
  6. Step 6: Final answer
    x = 5,136.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.