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Finding the Fourth Proportional to 9,106.50, 12,566.09 and 6,717.77

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Solution

The fourth proportional to 9,106.50, 12,566.09 and 6,717.77 is: 9,269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.50 : 12,566.09 = 6,717.77 : x
  2. Step 2: Convert to fraction form
    9,106.50/12,566.09 = 6,717.77/x
  3. Step 3: Cross multiply
    9,106.50x = 12,566.09 × 6,717.77
  4. Step 4: Simplify right side
    9,106.50x = 84,416,102.42
  5. Step 5: Solve for x
    x = 84,416,102.42/9,106.50
  6. Step 6: Final answer
    x = 9,269.87

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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.