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Finding the Fourth Proportional to 9,271.46, 12,794.63 and 5,022.57

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Solution

The fourth proportional to 9,271.46, 12,794.63 and 5,022.57 is: 6,931.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.46 : 12,794.63 = 5,022.57 : x
  2. Step 2: Convert to fraction form
    9,271.46/12,794.63 = 5,022.57/x
  3. Step 3: Cross multiply
    9,271.46x = 12,794.63 × 5,022.57
  4. Step 4: Simplify right side
    9,271.46x = 64,261,924.80
  5. Step 5: Solve for x
    x = 64,261,924.80/9,271.46
  6. Step 6: Final answer
    x = 6,931.15

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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.