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Finding the Fourth Proportional to 9,765.20, 14,646.30 and 3,191.42

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Solution

The fourth proportional to 9,765.20, 14,646.30 and 3,191.42 is: 4,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.20 : 14,646.30 = 3,191.42 : x
  2. Step 2: Convert to fraction form
    9,765.20/14,646.30 = 3,191.42/x
  3. Step 3: Cross multiply
    9,765.20x = 14,646.30 × 3,191.42
  4. Step 4: Simplify right side
    9,765.20x = 46,742,494.75
  5. Step 5: Solve for x
    x = 46,742,494.75/9,765.20
  6. Step 6: Final answer
    x = 4,786.64

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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.