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Finding the Fourth Proportional to 9,396.34, 14,094.50 and 7,639.24

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Solution

The fourth proportional to 9,396.34, 14,094.50 and 7,639.24 is: 11,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.34 : 14,094.50 = 7,639.24 : x
  2. Step 2: Convert to fraction form
    9,396.34/14,094.50 = 7,639.24/x
  3. Step 3: Cross multiply
    9,396.34x = 14,094.50 × 7,639.24
  4. Step 4: Simplify right side
    9,396.34x = 107,671,268.18
  5. Step 5: Solve for x
    x = 107,671,268.18/9,396.34
  6. Step 6: Final answer
    x = 11,458.85

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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.