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Finding the Fourth Proportional to 6,302.65, 9,441.45 and 5,785.97

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Solution

The fourth proportional to 6,302.65, 9,441.45 and 5,785.97 is: 8,667.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.65 : 9,441.45 = 5,785.97 : x
  2. Step 2: Convert to fraction form
    6,302.65/9,441.45 = 5,785.97/x
  3. Step 3: Cross multiply
    6,302.65x = 9,441.45 × 5,785.97
  4. Step 4: Simplify right side
    6,302.65x = 54,627,970.77
  5. Step 5: Solve for x
    x = 54,627,970.77/6,302.65
  6. Step 6: Final answer
    x = 8,667.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.