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Finding the Fourth Proportional to 9,468.50, 13,060.64 and 7,577.96

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Solution

The fourth proportional to 9,468.50, 13,060.64 and 7,577.96 is: 10,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.50 : 13,060.64 = 7,577.96 : x
  2. Step 2: Convert to fraction form
    9,468.50/13,060.64 = 7,577.96/x
  3. Step 3: Cross multiply
    9,468.50x = 13,060.64 × 7,577.96
  4. Step 4: Simplify right side
    9,468.50x = 98,972,961.14
  5. Step 5: Solve for x
    x = 98,972,961.14/9,468.50
  6. Step 6: Final answer
    x = 10,452.87

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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.