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Finding the Fourth Proportional to 9,701.56, 14,556.12 and 3,858.76

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Solution

The fourth proportional to 9,701.56, 14,556.12 and 3,858.76 is: 5,789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.56 : 14,556.12 = 3,858.76 : x
  2. Step 2: Convert to fraction form
    9,701.56/14,556.12 = 3,858.76/x
  3. Step 3: Cross multiply
    9,701.56x = 14,556.12 × 3,858.76
  4. Step 4: Simplify right side
    9,701.56x = 56,168,573.61
  5. Step 5: Solve for x
    x = 56,168,573.61/9,701.56
  6. Step 6: Final answer
    x = 5,789.64

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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.