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Finding the Fourth Proportional to 6,465.02, 9,692.06 and 3,343.68

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Solution

The fourth proportional to 6,465.02, 9,692.06 and 3,343.68 is: 5,012.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.02 : 9,692.06 = 3,343.68 : x
  2. Step 2: Convert to fraction form
    6,465.02/9,692.06 = 3,343.68/x
  3. Step 3: Cross multiply
    6,465.02x = 9,692.06 × 3,343.68
  4. Step 4: Simplify right side
    6,465.02x = 32,407,130.46
  5. Step 5: Solve for x
    x = 32,407,130.46/6,465.02
  6. Step 6: Final answer
    x = 5,012.69

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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.