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Finding the Fourth Proportional to 9,477.88, 13,082.18 and 5,499.88

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Solution

The fourth proportional to 9,477.88, 13,082.18 and 5,499.88 is: 7,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.88 : 13,082.18 = 5,499.88 : x
  2. Step 2: Convert to fraction form
    9,477.88/13,082.18 = 5,499.88/x
  3. Step 3: Cross multiply
    9,477.88x = 13,082.18 × 5,499.88
  4. Step 4: Simplify right side
    9,477.88x = 71,950,420.14
  5. Step 5: Solve for x
    x = 71,950,420.14/9,477.88
  6. Step 6: Final answer
    x = 7,591.40

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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.