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Finding the Fourth Proportional to 6,706.26, 9,256.02 and 4,468.23

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Solution

The fourth proportional to 6,706.26, 9,256.02 and 4,468.23 is: 6,167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.26 : 9,256.02 = 4,468.23 : x
  2. Step 2: Convert to fraction form
    6,706.26/9,256.02 = 4,468.23/x
  3. Step 3: Cross multiply
    6,706.26x = 9,256.02 × 4,468.23
  4. Step 4: Simplify right side
    6,706.26x = 41,358,026.24
  5. Step 5: Solve for x
    x = 41,358,026.24/6,706.26
  6. Step 6: Final answer
    x = 6,167.08

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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.