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Finding the Fourth Proportional to 6,530.32, 9,797.38 and 2,370.26

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Solution

The fourth proportional to 6,530.32, 9,797.38 and 2,370.26 is: 3,556.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.32 : 9,797.38 = 2,370.26 : x
  2. Step 2: Convert to fraction form
    6,530.32/9,797.38 = 2,370.26/x
  3. Step 3: Cross multiply
    6,530.32x = 9,797.38 × 2,370.26
  4. Step 4: Simplify right side
    6,530.32x = 23,222,326.07
  5. Step 5: Solve for x
    x = 23,222,326.07/6,530.32
  6. Step 6: Final answer
    x = 3,556.08

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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.