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Finding the Fourth Proportional to 6,421.40, 9,632.26 and 1,979.16

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Solution

The fourth proportional to 6,421.40, 9,632.26 and 1,979.16 is: 2,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.40 : 9,632.26 = 1,979.16 : x
  2. Step 2: Convert to fraction form
    6,421.40/9,632.26 = 1,979.16/x
  3. Step 3: Cross multiply
    6,421.40x = 9,632.26 × 1,979.16
  4. Step 4: Simplify right side
    6,421.40x = 19,063,783.70
  5. Step 5: Solve for x
    x = 19,063,783.70/6,421.40
  6. Step 6: Final answer
    x = 2,968.79

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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.