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Finding the Fourth Proportional to 9,271.92, 12,794.94 and 5,495.12

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Solution

The fourth proportional to 9,271.92, 12,794.94 and 5,495.12 is: 7,583.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.92 : 12,794.94 = 5,495.12 : x
  2. Step 2: Convert to fraction form
    9,271.92/12,794.94 = 5,495.12/x
  3. Step 3: Cross multiply
    9,271.92x = 12,794.94 × 5,495.12
  4. Step 4: Simplify right side
    9,271.92x = 70,309,730.69
  5. Step 5: Solve for x
    x = 70,309,730.69/9,271.92
  6. Step 6: Final answer
    x = 7,583.08

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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.