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Finding the Fourth Proportional to 9,291.48, 12,819.36 and 6,310.26

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Solution

The fourth proportional to 9,291.48, 12,819.36 and 6,310.26 is: 8,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.48 : 12,819.36 = 6,310.26 : x
  2. Step 2: Convert to fraction form
    9,291.48/12,819.36 = 6,310.26/x
  3. Step 3: Cross multiply
    9,291.48x = 12,819.36 × 6,310.26
  4. Step 4: Simplify right side
    9,291.48x = 80,893,494.63
  5. Step 5: Solve for x
    x = 80,893,494.63/9,291.48
  6. Step 6: Final answer
    x = 8,706.20

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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.