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Finding the Fourth Proportional to 9,354.88, 14,032.94 and 3,114.64

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Solution

The fourth proportional to 9,354.88, 14,032.94 and 3,114.64 is: 4,672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.88 : 14,032.94 = 3,114.64 : x
  2. Step 2: Convert to fraction form
    9,354.88/14,032.94 = 3,114.64/x
  3. Step 3: Cross multiply
    9,354.88x = 14,032.94 × 3,114.64
  4. Step 4: Simplify right side
    9,354.88x = 43,707,556.24
  5. Step 5: Solve for x
    x = 43,707,556.24/9,354.88
  6. Step 6: Final answer
    x = 4,672.17

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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.