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Finding the Fourth Proportional to 6,516.08, 9,768.63 and 4,430.24

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Solution

The fourth proportional to 6,516.08, 9,768.63 and 4,430.24 is: 6,641.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.08 : 9,768.63 = 4,430.24 : x
  2. Step 2: Convert to fraction form
    6,516.08/9,768.63 = 4,430.24/x
  3. Step 3: Cross multiply
    6,516.08x = 9,768.63 × 4,430.24
  4. Step 4: Simplify right side
    6,516.08x = 43,277,375.37
  5. Step 5: Solve for x
    x = 43,277,375.37/6,516.08
  6. Step 6: Final answer
    x = 6,641.63

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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.