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Finding the Fourth Proportional to 9,696.00, 13,379.03 and 5,446.25

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Solution

The fourth proportional to 9,696.00, 13,379.03 and 5,446.25 is: 7,515.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.00 : 13,379.03 = 5,446.25 : x
  2. Step 2: Convert to fraction form
    9,696.00/13,379.03 = 5,446.25/x
  3. Step 3: Cross multiply
    9,696.00x = 13,379.03 × 5,446.25
  4. Step 4: Simplify right side
    9,696.00x = 72,865,498.18
  5. Step 5: Solve for x
    x = 72,865,498.18/9,696.00
  6. Step 6: Final answer
    x = 7,515.00

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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.