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Finding the Fourth Proportional to 9,696.29, 14,543.63 and 3,851.33

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Solution

The fourth proportional to 9,696.29, 14,543.63 and 3,851.33 is: 5,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.29 : 14,543.63 = 3,851.33 : x
  2. Step 2: Convert to fraction form
    9,696.29/14,543.63 = 3,851.33/x
  3. Step 3: Cross multiply
    9,696.29x = 14,543.63 × 3,851.33
  4. Step 4: Simplify right side
    9,696.29x = 56,012,335.63
  5. Step 5: Solve for x
    x = 56,012,335.63/9,696.29
  6. Step 6: Final answer
    x = 5,776.68

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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.