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Finding the Fourth Proportional to 9,533, 14,301.66 and 3,377

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Solution

The fourth proportional to 9,533, 14,301.66 and 3,377 is: 5,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533 : 14,301.66 = 3,377 : x
  2. Step 2: Convert to fraction form
    9,533/14,301.66 = 3,377/x
  3. Step 3: Cross multiply
    9,533x = 14,301.66 × 3,377
  4. Step 4: Simplify right side
    9,533x = 48,296,705.82
  5. Step 5: Solve for x
    x = 48,296,705.82/9,533
  6. Step 6: Final answer
    x = 5,066.27

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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.