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Finding the Fourth Proportional to 9,408.64, 14,112.23 and 3,482.74

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Solution

The fourth proportional to 9,408.64, 14,112.23 and 3,482.74 is: 5,223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.64 : 14,112.23 = 3,482.74 : x
  2. Step 2: Convert to fraction form
    9,408.64/14,112.23 = 3,482.74/x
  3. Step 3: Cross multiply
    9,408.64x = 14,112.23 × 3,482.74
  4. Step 4: Simplify right side
    9,408.64x = 49,149,254.26
  5. Step 5: Solve for x
    x = 49,149,254.26/9,408.64
  6. Step 6: Final answer
    x = 5,223.84

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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.