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Finding the Fourth Proportional to 6,516.34, 9,769 and 4,430.49

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Solution

The fourth proportional to 6,516.34, 9,769 and 4,430.49 is: 6,641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.34 : 9,769 = 4,430.49 : x
  2. Step 2: Convert to fraction form
    6,516.34/9,769 = 4,430.49/x
  3. Step 3: Cross multiply
    6,516.34x = 9,769 × 4,430.49
  4. Step 4: Simplify right side
    6,516.34x = 43,281,456.81
  5. Step 5: Solve for x
    x = 43,281,456.81/6,516.34
  6. Step 6: Final answer
    x = 6,641.99

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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.