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Finding the Fourth Proportional to 9,733, 13,431.54 and 5,317

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Solution

The fourth proportional to 9,733, 13,431.54 and 5,317 is: 7,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733 : 13,431.54 = 5,317 : x
  2. Step 2: Convert to fraction form
    9,733/13,431.54 = 5,317/x
  3. Step 3: Cross multiply
    9,733x = 13,431.54 × 5,317
  4. Step 4: Simplify right side
    9,733x = 71,415,498.18
  5. Step 5: Solve for x
    x = 71,415,498.18/9,733
  6. Step 6: Final answer
    x = 7,337.46

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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.