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Finding the Fourth Proportional to 9,047.94, 12,486.15 and 5,511.15

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Solution

The fourth proportional to 9,047.94, 12,486.15 and 5,511.15 is: 7,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.94 : 12,486.15 = 5,511.15 : x
  2. Step 2: Convert to fraction form
    9,047.94/12,486.15 = 5,511.15/x
  3. Step 3: Cross multiply
    9,047.94x = 12,486.15 × 5,511.15
  4. Step 4: Simplify right side
    9,047.94x = 68,813,045.57
  5. Step 5: Solve for x
    x = 68,813,045.57/9,047.94
  6. Step 6: Final answer
    x = 7,605.38

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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.