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Finding the Fourth Proportional to 9,708.84, 14,559.55 and 3,467.68

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Solution

The fourth proportional to 9,708.84, 14,559.55 and 3,467.68 is: 5,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.84 : 14,559.55 = 3,467.68 : x
  2. Step 2: Convert to fraction form
    9,708.84/14,559.55 = 3,467.68/x
  3. Step 3: Cross multiply
    9,708.84x = 14,559.55 × 3,467.68
  4. Step 4: Simplify right side
    9,708.84x = 50,487,860.34
  5. Step 5: Solve for x
    x = 50,487,860.34/9,708.84
  6. Step 6: Final answer
    x = 5,200.19

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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.