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Finding the Fourth Proportional to 9,428.28, 13,014.08 and 6,783.38

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Solution

The fourth proportional to 9,428.28, 13,014.08 and 6,783.38 is: 9,363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.28 : 13,014.08 = 6,783.38 : x
  2. Step 2: Convert to fraction form
    9,428.28/13,014.08 = 6,783.38/x
  3. Step 3: Cross multiply
    9,428.28x = 13,014.08 × 6,783.38
  4. Step 4: Simplify right side
    9,428.28x = 88,279,351.00
  5. Step 5: Solve for x
    x = 88,279,351.00/9,428.28
  6. Step 6: Final answer
    x = 9,363.25

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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.