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Finding the Fourth Proportional to 9,651.36, 14,467.28 and 7,338

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Solution

The fourth proportional to 9,651.36, 14,467.28 and 7,338 is: 10,999.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.36 : 14,467.28 = 7,338 : x
  2. Step 2: Convert to fraction form
    9,651.36/14,467.28 = 7,338/x
  3. Step 3: Cross multiply
    9,651.36x = 14,467.28 × 7,338
  4. Step 4: Simplify right side
    9,651.36x = 106,160,900.64
  5. Step 5: Solve for x
    x = 106,160,900.64/9,651.36
  6. Step 6: Final answer
    x = 10,999.58

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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.