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Finding the Fourth Proportional to 9,206.76, 12,704.94 and 5,228.19

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Solution

The fourth proportional to 9,206.76, 12,704.94 and 5,228.19 is: 7,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.76 : 12,704.94 = 5,228.19 : x
  2. Step 2: Convert to fraction form
    9,206.76/12,704.94 = 5,228.19/x
  3. Step 3: Cross multiply
    9,206.76x = 12,704.94 × 5,228.19
  4. Step 4: Simplify right side
    9,206.76x = 66,423,840.26
  5. Step 5: Solve for x
    x = 66,423,840.26/9,206.76
  6. Step 6: Final answer
    x = 7,214.68

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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.