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Finding the Fourth Proportional to 9,095.26, 12,554.97 and 6,119.58

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Solution

The fourth proportional to 9,095.26, 12,554.97 and 6,119.58 is: 8,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.26 : 12,554.97 = 6,119.58 : x
  2. Step 2: Convert to fraction form
    9,095.26/12,554.97 = 6,119.58/x
  3. Step 3: Cross multiply
    9,095.26x = 12,554.97 × 6,119.58
  4. Step 4: Simplify right side
    9,095.26x = 76,831,113.15
  5. Step 5: Solve for x
    x = 76,831,113.15/9,095.26
  6. Step 6: Final answer
    x = 8,447.38

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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.