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Finding the Fourth Proportional to 9,708.34, 14,558.81 and 3,467.18

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Solution

The fourth proportional to 9,708.34, 14,558.81 and 3,467.18 is: 5,199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.34 : 14,558.81 = 3,467.18 : x
  2. Step 2: Convert to fraction form
    9,708.34/14,558.81 = 3,467.18/x
  3. Step 3: Cross multiply
    9,708.34x = 14,558.81 × 3,467.18
  4. Step 4: Simplify right side
    9,708.34x = 50,477,997.52
  5. Step 5: Solve for x
    x = 50,477,997.52/9,708.34
  6. Step 6: Final answer
    x = 5,199.45

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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.