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Finding the Fourth Proportional to 9,428.38, 13,022.10 and 6,279.10

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Solution

The fourth proportional to 9,428.38, 13,022.10 and 6,279.10 is: 8,672.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.38 : 13,022.10 = 6,279.10 : x
  2. Step 2: Convert to fraction form
    9,428.38/13,022.10 = 6,279.10/x
  3. Step 3: Cross multiply
    9,428.38x = 13,022.10 × 6,279.10
  4. Step 4: Simplify right side
    9,428.38x = 81,767,068.11
  5. Step 5: Solve for x
    x = 81,767,068.11/9,428.38
  6. Step 6: Final answer
    x = 8,672.44

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Why These Related Problems?

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