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Finding the Fourth Proportional to 9,205.75, 12,703.94 and 5,014

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Solution

The fourth proportional to 9,205.75, 12,703.94 and 5,014 is: 6,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.75 : 12,703.94 = 5,014 : x
  2. Step 2: Convert to fraction form
    9,205.75/12,703.94 = 5,014/x
  3. Step 3: Cross multiply
    9,205.75x = 12,703.94 × 5,014
  4. Step 4: Simplify right side
    9,205.75x = 63,697,555.16
  5. Step 5: Solve for x
    x = 63,697,555.16/9,205.75
  6. Step 6: Final answer
    x = 6,919.32

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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.