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Finding the Fourth Proportional to 9,669.60, 14,501.31 and 3,094.22

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Solution

The fourth proportional to 9,669.60, 14,501.31 and 3,094.22 is: 4,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.60 : 14,501.31 = 3,094.22 : x
  2. Step 2: Convert to fraction form
    9,669.60/14,501.31 = 3,094.22/x
  3. Step 3: Cross multiply
    9,669.60x = 14,501.31 × 3,094.22
  4. Step 4: Simplify right side
    9,669.60x = 44,870,170.92
  5. Step 5: Solve for x
    x = 44,870,170.92/9,669.60
  6. Step 6: Final answer
    x = 4,640.33

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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.