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Finding the Fourth Proportional to 8,130.69, 12,197.73 and 4,622.31

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Solution

The fourth proportional to 8,130.69, 12,197.73 and 4,622.31 is: 6,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.69 : 12,197.73 = 4,622.31 : x
  2. Step 2: Convert to fraction form
    8,130.69/12,197.73 = 4,622.31/x
  3. Step 3: Cross multiply
    8,130.69x = 12,197.73 × 4,622.31
  4. Step 4: Simplify right side
    8,130.69x = 56,381,689.36
  5. Step 5: Solve for x
    x = 56,381,689.36/8,130.69
  6. Step 6: Final answer
    x = 6,934.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.