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Finding the Fourth Proportional to 6,415.46, 9,632.14 and 3,298.11

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Solution

The fourth proportional to 6,415.46, 9,632.14 and 3,298.11 is: 4,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.46 : 9,632.14 = 3,298.11 : x
  2. Step 2: Convert to fraction form
    6,415.46/9,632.14 = 3,298.11/x
  3. Step 3: Cross multiply
    6,415.46x = 9,632.14 × 3,298.11
  4. Step 4: Simplify right side
    6,415.46x = 31,767,857.26
  5. Step 5: Solve for x
    x = 31,767,857.26/6,415.46
  6. Step 6: Final answer
    x = 4,951.77

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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.