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Finding the Fourth Proportional to 9,906.51, 14,771.20 and 9,634.35

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Solution

The fourth proportional to 9,906.51, 14,771.20 and 9,634.35 is: 14,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.51 : 14,771.20 = 9,634.35 : x
  2. Step 2: Convert to fraction form
    9,906.51/14,771.20 = 9,634.35/x
  3. Step 3: Cross multiply
    9,906.51x = 14,771.20 × 9,634.35
  4. Step 4: Simplify right side
    9,906.51x = 142,310,886.63
  5. Step 5: Solve for x
    x = 142,310,886.63/9,906.51
  6. Step 6: Final answer
    x = 14,365.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.