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Finding the Fourth Proportional to 9,130.29, 13,696.94 and 3,205.64

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Solution

The fourth proportional to 9,130.29, 13,696.94 and 3,205.64 is: 4,808.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.29 : 13,696.94 = 3,205.64 : x
  2. Step 2: Convert to fraction form
    9,130.29/13,696.94 = 3,205.64/x
  3. Step 3: Cross multiply
    9,130.29x = 13,696.94 × 3,205.64
  4. Step 4: Simplify right side
    9,130.29x = 43,907,398.27
  5. Step 5: Solve for x
    x = 43,907,398.27/9,130.29
  6. Step 6: Final answer
    x = 4,808.98

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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.