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Finding the Fourth Proportional to 9,767.96, 14,632.35 and 4,495.62

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Solution

The fourth proportional to 9,767.96, 14,632.35 and 4,495.62 is: 6,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.96 : 14,632.35 = 4,495.62 : x
  2. Step 2: Convert to fraction form
    9,767.96/14,632.35 = 4,495.62/x
  3. Step 3: Cross multiply
    9,767.96x = 14,632.35 × 4,495.62
  4. Step 4: Simplify right side
    9,767.96x = 65,781,485.31
  5. Step 5: Solve for x
    x = 65,781,485.31/9,767.96
  6. Step 6: Final answer
    x = 6,734.42

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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.