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Finding the Fourth Proportional to 9,611.06, 13,255.65 and 6,254.96

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Solution

The fourth proportional to 9,611.06, 13,255.65 and 6,254.96 is: 8,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.06 : 13,255.65 = 6,254.96 : x
  2. Step 2: Convert to fraction form
    9,611.06/13,255.65 = 6,254.96/x
  3. Step 3: Cross multiply
    9,611.06x = 13,255.65 × 6,254.96
  4. Step 4: Simplify right side
    9,611.06x = 82,913,494.25
  5. Step 5: Solve for x
    x = 82,913,494.25/9,611.06
  6. Step 6: Final answer
    x = 8,626.89

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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.