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Finding the Fourth Proportional to 9,537.75, 13,163.31 and 5,346

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Solution

The fourth proportional to 9,537.75, 13,163.31 and 5,346 is: 7,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.75 : 13,163.31 = 5,346 : x
  2. Step 2: Convert to fraction form
    9,537.75/13,163.31 = 5,346/x
  3. Step 3: Cross multiply
    9,537.75x = 13,163.31 × 5,346
  4. Step 4: Simplify right side
    9,537.75x = 70,371,055.26
  5. Step 5: Solve for x
    x = 70,371,055.26/9,537.75
  6. Step 6: Final answer
    x = 7,378.16

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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.