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Finding the Fourth Proportional to 9,556.37, 14,343.65 and 5,865.80

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Solution

The fourth proportional to 9,556.37, 14,343.65 and 5,865.80 is: 8,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.37 : 14,343.65 = 5,865.80 : x
  2. Step 2: Convert to fraction form
    9,556.37/14,343.65 = 5,865.80/x
  3. Step 3: Cross multiply
    9,556.37x = 14,343.65 × 5,865.80
  4. Step 4: Simplify right side
    9,556.37x = 84,136,881.12
  5. Step 5: Solve for x
    x = 84,136,881.12/9,556.37
  6. Step 6: Final answer
    x = 8,804.28

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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.