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Finding the Fourth Proportional to 9,511.96, 14,266.32 and 5,813.52

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Solution

The fourth proportional to 9,511.96, 14,266.32 and 5,813.52 is: 8,719.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.96 : 14,266.32 = 5,813.52 : x
  2. Step 2: Convert to fraction form
    9,511.96/14,266.32 = 5,813.52/x
  3. Step 3: Cross multiply
    9,511.96x = 14,266.32 × 5,813.52
  4. Step 4: Simplify right side
    9,511.96x = 82,937,536.65
  5. Step 5: Solve for x
    x = 82,937,536.65/9,511.96
  6. Step 6: Final answer
    x = 8,719.29

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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.