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Finding the Fourth Proportional to 6,789.30, 9,377.01 and 5,409.06

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Solution

The fourth proportional to 6,789.30, 9,377.01 and 5,409.06 is: 7,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.30 : 9,377.01 = 5,409.06 : x
  2. Step 2: Convert to fraction form
    6,789.30/9,377.01 = 5,409.06/x
  3. Step 3: Cross multiply
    6,789.30x = 9,377.01 × 5,409.06
  4. Step 4: Simplify right side
    6,789.30x = 50,720,809.71
  5. Step 5: Solve for x
    x = 50,720,809.71/6,789.30
  6. Step 6: Final answer
    x = 7,470.70

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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.