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Finding the Fourth Proportional to 9,614.35, 13,267.86 and 5,635.54

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Solution

The fourth proportional to 9,614.35, 13,267.86 and 5,635.54 is: 7,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.35 : 13,267.86 = 5,635.54 : x
  2. Step 2: Convert to fraction form
    9,614.35/13,267.86 = 5,635.54/x
  3. Step 3: Cross multiply
    9,614.35x = 13,267.86 × 5,635.54
  4. Step 4: Simplify right side
    9,614.35x = 74,771,555.74
  5. Step 5: Solve for x
    x = 74,771,555.74/9,614.35
  6. Step 6: Final answer
    x = 7,777.08

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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.