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Finding the Fourth Proportional to 9,257, 12,774.66 and 5,065.25

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Solution

The fourth proportional to 9,257, 12,774.66 and 5,065.25 is: 6,990.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257 : 12,774.66 = 5,065.25 : x
  2. Step 2: Convert to fraction form
    9,257/12,774.66 = 5,065.25/x
  3. Step 3: Cross multiply
    9,257x = 12,774.66 × 5,065.25
  4. Step 4: Simplify right side
    9,257x = 64,706,846.57
  5. Step 5: Solve for x
    x = 64,706,846.57/9,257
  6. Step 6: Final answer
    x = 6,990.05

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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.