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Finding the Fourth Proportional to 6,492.08, 9,736.68 and 2,595.44

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Solution

The fourth proportional to 6,492.08, 9,736.68 and 2,595.44 is: 3,892.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.08 : 9,736.68 = 2,595.44 : x
  2. Step 2: Convert to fraction form
    6,492.08/9,736.68 = 2,595.44/x
  3. Step 3: Cross multiply
    6,492.08x = 9,736.68 × 2,595.44
  4. Step 4: Simplify right side
    6,492.08x = 25,270,968.74
  5. Step 5: Solve for x
    x = 25,270,968.74/6,492.08
  6. Step 6: Final answer
    x = 3,892.58

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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.