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Finding the Fourth Proportional to 9,775.56, 14,660.02 and 3,200.11

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Solution

The fourth proportional to 9,775.56, 14,660.02 and 3,200.11 is: 4,799.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.56 : 14,660.02 = 3,200.11 : x
  2. Step 2: Convert to fraction form
    9,775.56/14,660.02 = 3,200.11/x
  3. Step 3: Cross multiply
    9,775.56x = 14,660.02 × 3,200.11
  4. Step 4: Simplify right side
    9,775.56x = 46,913,676.60
  5. Step 5: Solve for x
    x = 46,913,676.60/9,775.56
  6. Step 6: Final answer
    x = 4,799.08

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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.