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Finding the Fourth Proportional to 9,640.65, 14,463.16 and 4,094.18

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Solution

The fourth proportional to 9,640.65, 14,463.16 and 4,094.18 is: 6,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.65 : 14,463.16 = 4,094.18 : x
  2. Step 2: Convert to fraction form
    9,640.65/14,463.16 = 4,094.18/x
  3. Step 3: Cross multiply
    9,640.65x = 14,463.16 × 4,094.18
  4. Step 4: Simplify right side
    9,640.65x = 59,214,752.09
  5. Step 5: Solve for x
    x = 59,214,752.09/9,640.65
  6. Step 6: Final answer
    x = 6,142.19

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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.