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Finding the Fourth Proportional to 9,477.32, 14,215.32 and 3,928.58

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Solution

The fourth proportional to 9,477.32, 14,215.32 and 3,928.58 is: 5,892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.32 : 14,215.32 = 3,928.58 : x
  2. Step 2: Convert to fraction form
    9,477.32/14,215.32 = 3,928.58/x
  3. Step 3: Cross multiply
    9,477.32x = 14,215.32 × 3,928.58
  4. Step 4: Simplify right side
    9,477.32x = 55,846,021.85
  5. Step 5: Solve for x
    x = 55,846,021.85/9,477.32
  6. Step 6: Final answer
    x = 5,892.60

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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.