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Finding the Fourth Proportional to 9,451, 14,176.23 and 2,876.23

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Solution

The fourth proportional to 9,451, 14,176.23 and 2,876.23 is: 4,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451 : 14,176.23 = 2,876.23 : x
  2. Step 2: Convert to fraction form
    9,451/14,176.23 = 2,876.23/x
  3. Step 3: Cross multiply
    9,451x = 14,176.23 × 2,876.23
  4. Step 4: Simplify right side
    9,451x = 40,774,098.01
  5. Step 5: Solve for x
    x = 40,774,098.01/9,451
  6. Step 6: Final answer
    x = 4,314.26

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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.