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Finding the Fourth Proportional to 9,492.84, 14,239.08 and 2,567.34

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Solution

The fourth proportional to 9,492.84, 14,239.08 and 2,567.34 is: 3,850.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.84 : 14,239.08 = 2,567.34 : x
  2. Step 2: Convert to fraction form
    9,492.84/14,239.08 = 2,567.34/x
  3. Step 3: Cross multiply
    9,492.84x = 14,239.08 × 2,567.34
  4. Step 4: Simplify right side
    9,492.84x = 36,556,559.65
  5. Step 5: Solve for x
    x = 36,556,559.65/9,492.84
  6. Step 6: Final answer
    x = 3,850.96

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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.