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Finding the Fourth Proportional to 9,423.64, 14,135.46 and 2,498.08

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Solution

The fourth proportional to 9,423.64, 14,135.46 and 2,498.08 is: 3,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.64 : 14,135.46 = 2,498.08 : x
  2. Step 2: Convert to fraction form
    9,423.64/14,135.46 = 2,498.08/x
  3. Step 3: Cross multiply
    9,423.64x = 14,135.46 × 2,498.08
  4. Step 4: Simplify right side
    9,423.64x = 35,311,509.92
  5. Step 5: Solve for x
    x = 35,311,509.92/9,423.64
  6. Step 6: Final answer
    x = 3,747.12

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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.