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Finding the Fourth Proportional to 10,428.04, 14,393.22 and 6,446.75

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Solution

The fourth proportional to 10,428.04, 14,393.22 and 6,446.75 is: 8,898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.04 : 14,393.22 = 6,446.75 : x
  2. Step 2: Convert to fraction form
    10,428.04/14,393.22 = 6,446.75/x
  3. Step 3: Cross multiply
    10,428.04x = 14,393.22 × 6,446.75
  4. Step 4: Simplify right side
    10,428.04x = 92,789,491.04
  5. Step 5: Solve for x
    x = 92,789,491.04/10,428.04
  6. Step 6: Final answer
    x = 8,898.08

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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.