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Finding the Fourth Proportional to 9,537.48, 13,163.04 and 5,346

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Solution

The fourth proportional to 9,537.48, 13,163.04 and 5,346 is: 7,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.48 : 13,163.04 = 5,346 : x
  2. Step 2: Convert to fraction form
    9,537.48/13,163.04 = 5,346/x
  3. Step 3: Cross multiply
    9,537.48x = 13,163.04 × 5,346
  4. Step 4: Simplify right side
    9,537.48x = 70,369,611.84
  5. Step 5: Solve for x
    x = 70,369,611.84/9,537.48
  6. Step 6: Final answer
    x = 7,378.22

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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.