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Finding the Fourth Proportional to 6,421.51, 9,632.23 and 2,039.30

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Solution

The fourth proportional to 6,421.51, 9,632.23 and 2,039.30 is: 3,058.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.51 : 9,632.23 = 2,039.30 : x
  2. Step 2: Convert to fraction form
    6,421.51/9,632.23 = 2,039.30/x
  3. Step 3: Cross multiply
    6,421.51x = 9,632.23 × 2,039.30
  4. Step 4: Simplify right side
    6,421.51x = 19,643,055.15
  5. Step 5: Solve for x
    x = 19,643,055.15/6,421.51
  6. Step 6: Final answer
    x = 3,058.95

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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.