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Finding the Fourth Proportional to 6,272.16, 9,408.24 and 1,889.76

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Solution

The fourth proportional to 6,272.16, 9,408.24 and 1,889.76 is: 2,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.16 : 9,408.24 = 1,889.76 : x
  2. Step 2: Convert to fraction form
    6,272.16/9,408.24 = 1,889.76/x
  3. Step 3: Cross multiply
    6,272.16x = 9,408.24 × 1,889.76
  4. Step 4: Simplify right side
    6,272.16x = 17,779,315.62
  5. Step 5: Solve for x
    x = 17,779,315.62/6,272.16
  6. Step 6: Final answer
    x = 2,834.64

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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.