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Finding the Fourth Proportional to 9,694.32, 13,379.04 and 5,503.92

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Solution

The fourth proportional to 9,694.32, 13,379.04 and 5,503.92 is: 7,595.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.32 : 13,379.04 = 5,503.92 : x
  2. Step 2: Convert to fraction form
    9,694.32/13,379.04 = 5,503.92/x
  3. Step 3: Cross multiply
    9,694.32x = 13,379.04 × 5,503.92
  4. Step 4: Simplify right side
    9,694.32x = 73,637,165.84
  5. Step 5: Solve for x
    x = 73,637,165.84/9,694.32
  6. Step 6: Final answer
    x = 7,595.91

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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.