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Finding the Fourth Proportional to 9,271.68, 12,794.76 and 5,022.66

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Solution

The fourth proportional to 9,271.68, 12,794.76 and 5,022.66 is: 6,931.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.68 : 12,794.76 = 5,022.66 : x
  2. Step 2: Convert to fraction form
    9,271.68/12,794.76 = 5,022.66/x
  3. Step 3: Cross multiply
    9,271.68x = 12,794.76 × 5,022.66
  4. Step 4: Simplify right side
    9,271.68x = 64,263,729.26
  5. Step 5: Solve for x
    x = 64,263,729.26/9,271.68
  6. Step 6: Final answer
    x = 6,931.18

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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.