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Finding the Fourth Proportional to 7,037.01, 9,712.38 and 4,522.26

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Solution

The fourth proportional to 7,037.01, 9,712.38 and 4,522.26 is: 6,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.01 : 9,712.38 = 4,522.26 : x
  2. Step 2: Convert to fraction form
    7,037.01/9,712.38 = 4,522.26/x
  3. Step 3: Cross multiply
    7,037.01x = 9,712.38 × 4,522.26
  4. Step 4: Simplify right side
    7,037.01x = 43,921,960.96
  5. Step 5: Solve for x
    x = 43,921,960.96/7,037.01
  6. Step 6: Final answer
    x = 6,241.57

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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.