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Finding the Fourth Proportional to 9,893.22, 14,838.24 and 3,656.18

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Solution

The fourth proportional to 9,893.22, 14,838.24 and 3,656.18 is: 5,483.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.22 : 14,838.24 = 3,656.18 : x
  2. Step 2: Convert to fraction form
    9,893.22/14,838.24 = 3,656.18/x
  3. Step 3: Cross multiply
    9,893.22x = 14,838.24 × 3,656.18
  4. Step 4: Simplify right side
    9,893.22x = 54,251,202.13
  5. Step 5: Solve for x
    x = 54,251,202.13/9,893.22
  6. Step 6: Final answer
    x = 5,483.67

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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.