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Finding the Fourth Proportional to 8,922.59, 12,311.46 and 5,730.94

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Solution

The fourth proportional to 8,922.59, 12,311.46 and 5,730.94 is: 7,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.59 : 12,311.46 = 5,730.94 : x
  2. Step 2: Convert to fraction form
    8,922.59/12,311.46 = 5,730.94/x
  3. Step 3: Cross multiply
    8,922.59x = 12,311.46 × 5,730.94
  4. Step 4: Simplify right side
    8,922.59x = 70,556,238.57
  5. Step 5: Solve for x
    x = 70,556,238.57/8,922.59
  6. Step 6: Final answer
    x = 7,907.60

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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.