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Finding the Fourth Proportional to 9,287.22, 12,811.86 and 6,146.04

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Solution

The fourth proportional to 9,287.22, 12,811.86 and 6,146.04 is: 8,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.22 : 12,811.86 = 6,146.04 : x
  2. Step 2: Convert to fraction form
    9,287.22/12,811.86 = 6,146.04/x
  3. Step 3: Cross multiply
    9,287.22x = 12,811.86 × 6,146.04
  4. Step 4: Simplify right side
    9,287.22x = 78,742,204.03
  5. Step 5: Solve for x
    x = 78,742,204.03/9,287.22
  6. Step 6: Final answer
    x = 8,478.55

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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.