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Finding the Fourth Proportional to 9,225.60, 13,838.64 and 3,380.64

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Solution

The fourth proportional to 9,225.60, 13,838.64 and 3,380.64 is: 5,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.60 : 13,838.64 = 3,380.64 : x
  2. Step 2: Convert to fraction form
    9,225.60/13,838.64 = 3,380.64/x
  3. Step 3: Cross multiply
    9,225.60x = 13,838.64 × 3,380.64
  4. Step 4: Simplify right side
    9,225.60x = 46,783,459.93
  5. Step 5: Solve for x
    x = 46,783,459.93/9,225.60
  6. Step 6: Final answer
    x = 5,071.05

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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.