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Finding the Fourth Proportional to 9,260.25, 12,776.62 and 5,279.91

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Solution

The fourth proportional to 9,260.25, 12,776.62 and 5,279.91 is: 7,284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.25 : 12,776.62 = 5,279.91 : x
  2. Step 2: Convert to fraction form
    9,260.25/12,776.62 = 5,279.91/x
  3. Step 3: Cross multiply
    9,260.25x = 12,776.62 × 5,279.91
  4. Step 4: Simplify right side
    9,260.25x = 67,459,403.70
  5. Step 5: Solve for x
    x = 67,459,403.70/9,260.25
  6. Step 6: Final answer
    x = 7,284.84

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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.