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Finding the Fourth Proportional to 9,354.02, 14,028.24 and 7,706.48

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Solution

The fourth proportional to 9,354.02, 14,028.24 and 7,706.48 is: 11,557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.02 : 14,028.24 = 7,706.48 : x
  2. Step 2: Convert to fraction form
    9,354.02/14,028.24 = 7,706.48/x
  3. Step 3: Cross multiply
    9,354.02x = 14,028.24 × 7,706.48
  4. Step 4: Simplify right side
    9,354.02x = 108,108,351.00
  5. Step 5: Solve for x
    x = 108,108,351.00/9,354.02
  6. Step 6: Final answer
    x = 11,557.42

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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.