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Finding the Fourth Proportional to 9,492.58, 14,240.23 and 2,919.32

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Solution

The fourth proportional to 9,492.58, 14,240.23 and 2,919.32 is: 4,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.58 : 14,240.23 = 2,919.32 : x
  2. Step 2: Convert to fraction form
    9,492.58/14,240.23 = 2,919.32/x
  3. Step 3: Cross multiply
    9,492.58x = 14,240.23 × 2,919.32
  4. Step 4: Simplify right side
    9,492.58x = 41,571,717.04
  5. Step 5: Solve for x
    x = 41,571,717.04/9,492.58
  6. Step 6: Final answer
    x = 4,379.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.