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Finding the Fourth Proportional to 9,657.56, 13,324.32 and 5,408

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Solution

The fourth proportional to 9,657.56, 13,324.32 and 5,408 is: 7,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.56 : 13,324.32 = 5,408 : x
  2. Step 2: Convert to fraction form
    9,657.56/13,324.32 = 5,408/x
  3. Step 3: Cross multiply
    9,657.56x = 13,324.32 × 5,408
  4. Step 4: Simplify right side
    9,657.56x = 72,057,922.56
  5. Step 5: Solve for x
    x = 72,057,922.56/9,657.56
  6. Step 6: Final answer
    x = 7,461.30

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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.