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Finding the Fourth Proportional to 9,308.48, 13,964 and 3,154.24

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Solution

The fourth proportional to 9,308.48, 13,964 and 3,154.24 is: 4,731.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.48 : 13,964 = 3,154.24 : x
  2. Step 2: Convert to fraction form
    9,308.48/13,964 = 3,154.24/x
  3. Step 3: Cross multiply
    9,308.48x = 13,964 × 3,154.24
  4. Step 4: Simplify right side
    9,308.48x = 44,045,807.36
  5. Step 5: Solve for x
    x = 44,045,807.36/9,308.48
  6. Step 6: Final answer
    x = 4,731.79

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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.