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Finding the Fourth Proportional to 9,530.88, 14,287.56 and 3,289.44

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Solution

The fourth proportional to 9,530.88, 14,287.56 and 3,289.44 is: 4,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.88 : 14,287.56 = 3,289.44 : x
  2. Step 2: Convert to fraction form
    9,530.88/14,287.56 = 3,289.44/x
  3. Step 3: Cross multiply
    9,530.88x = 14,287.56 × 3,289.44
  4. Step 4: Simplify right side
    9,530.88x = 46,998,071.37
  5. Step 5: Solve for x
    x = 46,998,071.37/9,530.88
  6. Step 6: Final answer
    x = 4,931.14

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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.