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Finding the Fourth Proportional to 9,812.63, 13,541.42 and 5,621.15

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Solution

The fourth proportional to 9,812.63, 13,541.42 and 5,621.15 is: 7,757.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.63 : 13,541.42 = 5,621.15 : x
  2. Step 2: Convert to fraction form
    9,812.63/13,541.42 = 5,621.15/x
  3. Step 3: Cross multiply
    9,812.63x = 13,541.42 × 5,621.15
  4. Step 4: Simplify right side
    9,812.63x = 76,118,299.38
  5. Step 5: Solve for x
    x = 76,118,299.38/9,812.63
  6. Step 6: Final answer
    x = 7,757.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.