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Finding the Fourth Proportional to 9,492.57, 14,238.86 and 2,567.07

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Solution

The fourth proportional to 9,492.57, 14,238.86 and 2,567.07 is: 3,850.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.57 : 14,238.86 = 2,567.07 : x
  2. Step 2: Convert to fraction form
    9,492.57/14,238.86 = 2,567.07/x
  3. Step 3: Cross multiply
    9,492.57x = 14,238.86 × 2,567.07
  4. Step 4: Simplify right side
    9,492.57x = 36,552,137.50
  5. Step 5: Solve for x
    x = 36,552,137.50/9,492.57
  6. Step 6: Final answer
    x = 3,850.61

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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.