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Finding the Fourth Proportional to 9,106.88, 12,560.94 and 6,423.62

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Solution

The fourth proportional to 9,106.88, 12,560.94 and 6,423.62 is: 8,859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.88 : 12,560.94 = 6,423.62 : x
  2. Step 2: Convert to fraction form
    9,106.88/12,560.94 = 6,423.62/x
  3. Step 3: Cross multiply
    9,106.88x = 12,560.94 × 6,423.62
  4. Step 4: Simplify right side
    9,106.88x = 80,686,642.60
  5. Step 5: Solve for x
    x = 80,686,642.60/9,106.88
  6. Step 6: Final answer
    x = 8,859.97

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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.