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Finding the Fourth Proportional to 9,641.65, 14,466.08 and 3,802.33

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Solution

The fourth proportional to 9,641.65, 14,466.08 and 3,802.33 is: 5,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.65 : 14,466.08 = 3,802.33 : x
  2. Step 2: Convert to fraction form
    9,641.65/14,466.08 = 3,802.33/x
  3. Step 3: Cross multiply
    9,641.65x = 14,466.08 × 3,802.33
  4. Step 4: Simplify right side
    9,641.65x = 55,004,809.97
  5. Step 5: Solve for x
    x = 55,004,809.97/9,641.65
  6. Step 6: Final answer
    x = 5,704.92

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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.