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Finding the Fourth Proportional to 6,420.96, 9,636.46 and 3,300.84

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Solution

The fourth proportional to 6,420.96, 9,636.46 and 3,300.84 is: 4,953.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.96 : 9,636.46 = 3,300.84 : x
  2. Step 2: Convert to fraction form
    6,420.96/9,636.46 = 3,300.84/x
  3. Step 3: Cross multiply
    6,420.96x = 9,636.46 × 3,300.84
  4. Step 4: Simplify right side
    6,420.96x = 31,808,412.63
  5. Step 5: Solve for x
    x = 31,808,412.63/6,420.96
  6. Step 6: Final answer
    x = 4,953.84

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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.