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Finding the Fourth Proportional to 9,408, 14,112.81 and 2,482.50

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Solution

The fourth proportional to 9,408, 14,112.81 and 2,482.50 is: 3,723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408 : 14,112.81 = 2,482.50 : x
  2. Step 2: Convert to fraction form
    9,408/14,112.81 = 2,482.50/x
  3. Step 3: Cross multiply
    9,408x = 14,112.81 × 2,482.50
  4. Step 4: Simplify right side
    9,408x = 35,035,050.83
  5. Step 5: Solve for x
    x = 35,035,050.83/9,408
  6. Step 6: Final answer
    x = 3,723.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.