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Finding the Fourth Proportional to 9,556.56, 14,339.64 and 5,660.88

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Solution

The fourth proportional to 9,556.56, 14,339.64 and 5,660.88 is: 8,494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.56 : 14,339.64 = 5,660.88 : x
  2. Step 2: Convert to fraction form
    9,556.56/14,339.64 = 5,660.88/x
  3. Step 3: Cross multiply
    9,556.56x = 14,339.64 × 5,660.88
  4. Step 4: Simplify right side
    9,556.56x = 81,174,981.28
  5. Step 5: Solve for x
    x = 81,174,981.28/9,556.56
  6. Step 6: Final answer
    x = 8,494.16

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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.