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Finding the Fourth Proportional to 9,271.57, 12,794.82 and 5,022.64

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Solution

The fourth proportional to 9,271.57, 12,794.82 and 5,022.64 is: 6,931.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.57 : 12,794.82 = 5,022.64 : x
  2. Step 2: Convert to fraction form
    9,271.57/12,794.82 = 5,022.64/x
  3. Step 3: Cross multiply
    9,271.57x = 12,794.82 × 5,022.64
  4. Step 4: Simplify right side
    9,271.57x = 64,263,774.72
  5. Step 5: Solve for x
    x = 64,263,774.72/9,271.57
  6. Step 6: Final answer
    x = 6,931.27

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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.