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Finding the Fourth Proportional to 9,495.63, 14,233.73 and 3,656.34

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Solution

The fourth proportional to 9,495.63, 14,233.73 and 3,656.34 is: 5,480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495.63 : 14,233.73 = 3,656.34 : x
  2. Step 2: Convert to fraction form
    9,495.63/14,233.73 = 3,656.34/x
  3. Step 3: Cross multiply
    9,495.63x = 14,233.73 × 3,656.34
  4. Step 4: Simplify right side
    9,495.63x = 52,043,338.07
  5. Step 5: Solve for x
    x = 52,043,338.07/9,495.63
  6. Step 6: Final answer
    x = 5,480.77

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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.