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Finding the Fourth Proportional to 6,412.02, 8,846.28 and 3,895.17

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Solution

The fourth proportional to 6,412.02, 8,846.28 and 3,895.17 is: 5,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.02 : 8,846.28 = 3,895.17 : x
  2. Step 2: Convert to fraction form
    6,412.02/8,846.28 = 3,895.17/x
  3. Step 3: Cross multiply
    6,412.02x = 8,846.28 × 3,895.17
  4. Step 4: Simplify right side
    6,412.02x = 34,457,764.47
  5. Step 5: Solve for x
    x = 34,457,764.47/6,412.02
  6. Step 6: Final answer
    x = 5,373.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.