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Finding the Fourth Proportional to 9,106.84, 13,650.85 and 6,601.93

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Solution

The fourth proportional to 9,106.84, 13,650.85 and 6,601.93 is: 9,896.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.84 : 13,650.85 = 6,601.93 : x
  2. Step 2: Convert to fraction form
    9,106.84/13,650.85 = 6,601.93/x
  3. Step 3: Cross multiply
    9,106.84x = 13,650.85 × 6,601.93
  4. Step 4: Simplify right side
    9,106.84x = 90,121,956.14
  5. Step 5: Solve for x
    x = 90,121,956.14/9,106.84
  6. Step 6: Final answer
    x = 9,896.07

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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.