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Finding the Fourth Proportional to 9,592.10, 13,236.14 and 5,343.01

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Solution

The fourth proportional to 9,592.10, 13,236.14 and 5,343.01 is: 7,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.10 : 13,236.14 = 5,343.01 : x
  2. Step 2: Convert to fraction form
    9,592.10/13,236.14 = 5,343.01/x
  3. Step 3: Cross multiply
    9,592.10x = 13,236.14 × 5,343.01
  4. Step 4: Simplify right side
    9,592.10x = 70,720,828.38
  5. Step 5: Solve for x
    x = 70,720,828.38/9,592.10
  6. Step 6: Final answer
    x = 7,372.82

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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.