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Finding the Fourth Proportional to 9,396.30, 14,101.29 and 7,569.48

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Solution

The fourth proportional to 9,396.30, 14,101.29 and 7,569.48 is: 11,359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.30 : 14,101.29 = 7,569.48 : x
  2. Step 2: Convert to fraction form
    9,396.30/14,101.29 = 7,569.48/x
  3. Step 3: Cross multiply
    9,396.30x = 14,101.29 × 7,569.48
  4. Step 4: Simplify right side
    9,396.30x = 106,739,485.51
  5. Step 5: Solve for x
    x = 106,739,485.51/9,396.30
  6. Step 6: Final answer
    x = 11,359.73

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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.