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Finding the Fourth Proportional to 7,065.12, 9,750.06 and 4,269

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Solution

The fourth proportional to 7,065.12, 9,750.06 and 4,269 is: 5,891.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.12 : 9,750.06 = 4,269 : x
  2. Step 2: Convert to fraction form
    7,065.12/9,750.06 = 4,269/x
  3. Step 3: Cross multiply
    7,065.12x = 9,750.06 × 4,269
  4. Step 4: Simplify right side
    7,065.12x = 41,623,006.14
  5. Step 5: Solve for x
    x = 41,623,006.14/7,065.12
  6. Step 6: Final answer
    x = 5,891.34

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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.