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Finding the Fourth Proportional to 6,415.71, 9,632.52 and 3,298.37

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Solution

The fourth proportional to 6,415.71, 9,632.52 and 3,298.37 is: 4,952.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.71 : 9,632.52 = 3,298.37 : x
  2. Step 2: Convert to fraction form
    6,415.71/9,632.52 = 3,298.37/x
  3. Step 3: Cross multiply
    6,415.71x = 9,632.52 × 3,298.37
  4. Step 4: Simplify right side
    6,415.71x = 31,771,566.83
  5. Step 5: Solve for x
    x = 31,771,566.83/6,415.71
  6. Step 6: Final answer
    x = 4,952.15

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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.