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Finding the Fourth Proportional to 6,265.65, 8,641.23 and 4,469.70

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Solution

The fourth proportional to 6,265.65, 8,641.23 and 4,469.70 is: 6,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.65 : 8,641.23 = 4,469.70 : x
  2. Step 2: Convert to fraction form
    6,265.65/8,641.23 = 4,469.70/x
  3. Step 3: Cross multiply
    6,265.65x = 8,641.23 × 4,469.70
  4. Step 4: Simplify right side
    6,265.65x = 38,623,721.37
  5. Step 5: Solve for x
    x = 38,623,721.37/6,265.65
  6. Step 6: Final answer
    x = 6,164.36

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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.