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Finding the Fourth Proportional to 9,906.26, 14,862.56 and 2,886.69

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Solution

The fourth proportional to 9,906.26, 14,862.56 and 2,886.69 is: 4,330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.26 : 14,862.56 = 2,886.69 : x
  2. Step 2: Convert to fraction form
    9,906.26/14,862.56 = 2,886.69/x
  3. Step 3: Cross multiply
    9,906.26x = 14,862.56 × 2,886.69
  4. Step 4: Simplify right side
    9,906.26x = 42,903,588.89
  5. Step 5: Solve for x
    x = 42,903,588.89/9,906.26
  6. Step 6: Final answer
    x = 4,330.96

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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.