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Finding the Fourth Proportional to 9,005.70, 13,508.56 and 2,431.90

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Solution

The fourth proportional to 9,005.70, 13,508.56 and 2,431.90 is: 3,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.70 : 13,508.56 = 2,431.90 : x
  2. Step 2: Convert to fraction form
    9,005.70/13,508.56 = 2,431.90/x
  3. Step 3: Cross multiply
    9,005.70x = 13,508.56 × 2,431.90
  4. Step 4: Simplify right side
    9,005.70x = 32,851,467.06
  5. Step 5: Solve for x
    x = 32,851,467.06/9,005.70
  6. Step 6: Final answer
    x = 3,647.85

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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.