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Finding the Fourth Proportional to 9,208.07, 12,706.15 and 6,182.58

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Solution

The fourth proportional to 9,208.07, 12,706.15 and 6,182.58 is: 8,531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.07 : 12,706.15 = 6,182.58 : x
  2. Step 2: Convert to fraction form
    9,208.07/12,706.15 = 6,182.58/x
  3. Step 3: Cross multiply
    9,208.07x = 12,706.15 × 6,182.58
  4. Step 4: Simplify right side
    9,208.07x = 78,556,788.87
  5. Step 5: Solve for x
    x = 78,556,788.87/9,208.07
  6. Step 6: Final answer
    x = 8,531.30

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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.