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Finding the Fourth Proportional to 9,059.12, 12,511.32 and 6,233.84

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Solution

The fourth proportional to 9,059.12, 12,511.32 and 6,233.84 is: 8,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,059.12 : 12,511.32 = 6,233.84 : x
  2. Step 2: Convert to fraction form
    9,059.12/12,511.32 = 6,233.84/x
  3. Step 3: Cross multiply
    9,059.12x = 12,511.32 × 6,233.84
  4. Step 4: Simplify right side
    9,059.12x = 77,993,567.07
  5. Step 5: Solve for x
    x = 77,993,567.07/9,059.12
  6. Step 6: Final answer
    x = 8,609.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.