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Finding the Fourth Proportional to 9,213.60, 13,810.13 and 3,665.46

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Solution

The fourth proportional to 9,213.60, 13,810.13 and 3,665.46 is: 5,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.60 : 13,810.13 = 3,665.46 : x
  2. Step 2: Convert to fraction form
    9,213.60/13,810.13 = 3,665.46/x
  3. Step 3: Cross multiply
    9,213.60x = 13,810.13 × 3,665.46
  4. Step 4: Simplify right side
    9,213.60x = 50,620,479.11
  5. Step 5: Solve for x
    x = 50,620,479.11/9,213.60
  6. Step 6: Final answer
    x = 5,494.10

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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.