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Finding the Fourth Proportional to 9,467.86, 13,065.74 and 5,219.08

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Solution

The fourth proportional to 9,467.86, 13,065.74 and 5,219.08 is: 7,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.86 : 13,065.74 = 5,219.08 : x
  2. Step 2: Convert to fraction form
    9,467.86/13,065.74 = 5,219.08/x
  3. Step 3: Cross multiply
    9,467.86x = 13,065.74 × 5,219.08
  4. Step 4: Simplify right side
    9,467.86x = 68,191,142.32
  5. Step 5: Solve for x
    x = 68,191,142.32/9,467.86
  6. Step 6: Final answer
    x = 7,202.38

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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.