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Finding the Fourth Proportional to 6,530.94, 9,794.40 and 2,370.42

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Solution

The fourth proportional to 6,530.94, 9,794.40 and 2,370.42 is: 3,554.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.94 : 9,794.40 = 2,370.42 : x
  2. Step 2: Convert to fraction form
    6,530.94/9,794.40 = 2,370.42/x
  3. Step 3: Cross multiply
    6,530.94x = 9,794.40 × 2,370.42
  4. Step 4: Simplify right side
    6,530.94x = 23,216,841.65
  5. Step 5: Solve for x
    x = 23,216,841.65/6,530.94
  6. Step 6: Final answer
    x = 3,554.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.