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Finding the Fourth Proportional to 9,464.72, 14,197.23 and 7,705.36

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Solution

The fourth proportional to 9,464.72, 14,197.23 and 7,705.36 is: 11,558.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.72 : 14,197.23 = 7,705.36 : x
  2. Step 2: Convert to fraction form
    9,464.72/14,197.23 = 7,705.36/x
  3. Step 3: Cross multiply
    9,464.72x = 14,197.23 × 7,705.36
  4. Step 4: Simplify right side
    9,464.72x = 109,394,768.15
  5. Step 5: Solve for x
    x = 109,394,768.15/9,464.72
  6. Step 6: Final answer
    x = 11,558.16

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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.