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Finding the Fourth Proportional to 9,553, 14,335.26 and 4,081

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Solution

The fourth proportional to 9,553, 14,335.26 and 4,081 is: 6,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553 : 14,335.26 = 4,081 : x
  2. Step 2: Convert to fraction form
    9,553/14,335.26 = 4,081/x
  3. Step 3: Cross multiply
    9,553x = 14,335.26 × 4,081
  4. Step 4: Simplify right side
    9,553x = 58,502,196.06
  5. Step 5: Solve for x
    x = 58,502,196.06/9,553
  6. Step 6: Final answer
    x = 6,123.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.