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Finding the Fourth Proportional to 6,345.30, 9,524.79 and 3,574.64

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Solution

The fourth proportional to 6,345.30, 9,524.79 and 3,574.64 is: 5,365.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.30 : 9,524.79 = 3,574.64 : x
  2. Step 2: Convert to fraction form
    6,345.30/9,524.79 = 3,574.64/x
  3. Step 3: Cross multiply
    6,345.30x = 9,524.79 × 3,574.64
  4. Step 4: Simplify right side
    6,345.30x = 34,047,695.33
  5. Step 5: Solve for x
    x = 34,047,695.33/6,345.30
  6. Step 6: Final answer
    x = 5,365.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.