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Finding the Fourth Proportional to 9,068.36, 13,650.35 and 7,732.04

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Solution

The fourth proportional to 9,068.36, 13,650.35 and 7,732.04 is: 11,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,068.36 : 13,650.35 = 7,732.04 : x
  2. Step 2: Convert to fraction form
    9,068.36/13,650.35 = 7,732.04/x
  3. Step 3: Cross multiply
    9,068.36x = 13,650.35 × 7,732.04
  4. Step 4: Simplify right side
    9,068.36x = 105,545,052.21
  5. Step 5: Solve for x
    x = 105,545,052.21/9,068.36
  6. Step 6: Final answer
    x = 11,638.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.