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Finding the Fourth Proportional to 9,478.58, 14,215.14 and 3,633.84

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Solution

The fourth proportional to 9,478.58, 14,215.14 and 3,633.84 is: 5,449.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.58 : 14,215.14 = 3,633.84 : x
  2. Step 2: Convert to fraction form
    9,478.58/14,215.14 = 3,633.84/x
  3. Step 3: Cross multiply
    9,478.58x = 14,215.14 × 3,633.84
  4. Step 4: Simplify right side
    9,478.58x = 51,655,544.34
  5. Step 5: Solve for x
    x = 51,655,544.34/9,478.58
  6. Step 6: Final answer
    x = 5,449.72

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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.