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Finding the Fourth Proportional to 9,346.64, 14,028.04 and 5,445.68

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Solution

The fourth proportional to 9,346.64, 14,028.04 and 5,445.68 is: 8,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.64 : 14,028.04 = 5,445.68 : x
  2. Step 2: Convert to fraction form
    9,346.64/14,028.04 = 5,445.68/x
  3. Step 3: Cross multiply
    9,346.64x = 14,028.04 × 5,445.68
  4. Step 4: Simplify right side
    9,346.64x = 76,392,216.87
  5. Step 5: Solve for x
    x = 76,392,216.87/9,346.64
  6. Step 6: Final answer
    x = 8,173.23

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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.