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Finding the Fourth Proportional to 9,696.48, 14,525.69 and 6,399.51

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Solution

The fourth proportional to 9,696.48, 14,525.69 and 6,399.51 is: 9,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.48 : 14,525.69 = 6,399.51 : x
  2. Step 2: Convert to fraction form
    9,696.48/14,525.69 = 6,399.51/x
  3. Step 3: Cross multiply
    9,696.48x = 14,525.69 × 6,399.51
  4. Step 4: Simplify right side
    9,696.48x = 92,957,266.41
  5. Step 5: Solve for x
    x = 92,957,266.41/9,696.48
  6. Step 6: Final answer
    x = 9,586.70

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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.