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Finding the Fourth Proportional to 9,423.77, 14,137.19 and 3,184.16

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Solution

The fourth proportional to 9,423.77, 14,137.19 and 3,184.16 is: 4,776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.77 : 14,137.19 = 3,184.16 : x
  2. Step 2: Convert to fraction form
    9,423.77/14,137.19 = 3,184.16/x
  3. Step 3: Cross multiply
    9,423.77x = 14,137.19 × 3,184.16
  4. Step 4: Simplify right side
    9,423.77x = 45,015,012.18
  5. Step 5: Solve for x
    x = 45,015,012.18/9,423.77
  6. Step 6: Final answer
    x = 4,776.75

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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.