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Finding the Fourth Proportional to 9,406.90, 14,114.67 and 9,251.38

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Solution

The fourth proportional to 9,406.90, 14,114.67 and 9,251.38 is: 13,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.90 : 14,114.67 = 9,251.38 : x
  2. Step 2: Convert to fraction form
    9,406.90/14,114.67 = 9,251.38/x
  3. Step 3: Cross multiply
    9,406.90x = 14,114.67 × 9,251.38
  4. Step 4: Simplify right side
    9,406.90x = 130,580,175.74
  5. Step 5: Solve for x
    x = 130,580,175.74/9,406.90
  6. Step 6: Final answer
    x = 13,881.32

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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.