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Finding the Fourth Proportional to 9,459.38, 13,053.96 and 5,267.63

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Solution

The fourth proportional to 9,459.38, 13,053.96 and 5,267.63 is: 7,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.38 : 13,053.96 = 5,267.63 : x
  2. Step 2: Convert to fraction form
    9,459.38/13,053.96 = 5,267.63/x
  3. Step 3: Cross multiply
    9,459.38x = 13,053.96 × 5,267.63
  4. Step 4: Simplify right side
    9,459.38x = 68,763,463.95
  5. Step 5: Solve for x
    x = 68,763,463.95/9,459.38
  6. Step 6: Final answer
    x = 7,269.34

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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.