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Finding the Fourth Proportional to 9,412.32, 14,115.08 and 2,836.46

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Solution

The fourth proportional to 9,412.32, 14,115.08 and 2,836.46 is: 4,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.32 : 14,115.08 = 2,836.46 : x
  2. Step 2: Convert to fraction form
    9,412.32/14,115.08 = 2,836.46/x
  3. Step 3: Cross multiply
    9,412.32x = 14,115.08 × 2,836.46
  4. Step 4: Simplify right side
    9,412.32x = 40,036,859.82
  5. Step 5: Solve for x
    x = 40,036,859.82/9,412.32
  6. Step 6: Final answer
    x = 4,253.67

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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.