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Finding the Fourth Proportional to 8,339.50, 12,492.78 and 6,261.94

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Solution

The fourth proportional to 8,339.50, 12,492.78 and 6,261.94 is: 9,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.50 : 12,492.78 = 6,261.94 : x
  2. Step 2: Convert to fraction form
    8,339.50/12,492.78 = 6,261.94/x
  3. Step 3: Cross multiply
    8,339.50x = 12,492.78 × 6,261.94
  4. Step 4: Simplify right side
    8,339.50x = 78,229,038.79
  5. Step 5: Solve for x
    x = 78,229,038.79/8,339.50
  6. Step 6: Final answer
    x = 9,380.54

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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.