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Finding the Fourth Proportional to 9,885.83, 14,819.22 and 3,642.43

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Solution

The fourth proportional to 9,885.83, 14,819.22 and 3,642.43 is: 5,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.83 : 14,819.22 = 3,642.43 : x
  2. Step 2: Convert to fraction form
    9,885.83/14,819.22 = 3,642.43/x
  3. Step 3: Cross multiply
    9,885.83x = 14,819.22 × 3,642.43
  4. Step 4: Simplify right side
    9,885.83x = 53,977,971.50
  5. Step 5: Solve for x
    x = 53,977,971.50/9,885.83
  6. Step 6: Final answer
    x = 5,460.14

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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.