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Finding the Fourth Proportional to 7,094.65, 9,790.51 and 3,907.87

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Solution

The fourth proportional to 7,094.65, 9,790.51 and 3,907.87 is: 5,392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.65 : 9,790.51 = 3,907.87 : x
  2. Step 2: Convert to fraction form
    7,094.65/9,790.51 = 3,907.87/x
  3. Step 3: Cross multiply
    7,094.65x = 9,790.51 × 3,907.87
  4. Step 4: Simplify right side
    7,094.65x = 38,260,040.31
  5. Step 5: Solve for x
    x = 38,260,040.31/7,094.65
  6. Step 6: Final answer
    x = 5,392.80

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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.