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Finding the Fourth Proportional to 9,906.30, 14,830.71 and 7,708.37

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Solution

The fourth proportional to 9,906.30, 14,830.71 and 7,708.37 is: 11,540.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.30 : 14,830.71 = 7,708.37 : x
  2. Step 2: Convert to fraction form
    9,906.30/14,830.71 = 7,708.37/x
  3. Step 3: Cross multiply
    9,906.30x = 14,830.71 × 7,708.37
  4. Step 4: Simplify right side
    9,906.30x = 114,320,525.89
  5. Step 5: Solve for x
    x = 114,320,525.89/9,906.30
  6. Step 6: Final answer
    x = 11,540.18

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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.