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Finding the Fourth Proportional to 7,050.65, 9,729.62 and 4,067.01

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Solution

The fourth proportional to 7,050.65, 9,729.62 and 4,067.01 is: 5,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.65 : 9,729.62 = 4,067.01 : x
  2. Step 2: Convert to fraction form
    7,050.65/9,729.62 = 4,067.01/x
  3. Step 3: Cross multiply
    7,050.65x = 9,729.62 × 4,067.01
  4. Step 4: Simplify right side
    7,050.65x = 39,570,456.75
  5. Step 5: Solve for x
    x = 39,570,456.75/7,050.65
  6. Step 6: Final answer
    x = 5,612.32

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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.