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Finding the Fourth Proportional to 6,570.30, 9,067.29 and 3,586.32

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Solution

The fourth proportional to 6,570.30, 9,067.29 and 3,586.32 is: 4,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.30 : 9,067.29 = 3,586.32 : x
  2. Step 2: Convert to fraction form
    6,570.30/9,067.29 = 3,586.32/x
  3. Step 3: Cross multiply
    6,570.30x = 9,067.29 × 3,586.32
  4. Step 4: Simplify right side
    6,570.30x = 32,518,203.47
  5. Step 5: Solve for x
    x = 32,518,203.47/6,570.30
  6. Step 6: Final answer
    x = 4,949.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.