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Finding the Fourth Proportional to 6,242.08, 9,354.43 and 4,849.06

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Solution

The fourth proportional to 6,242.08, 9,354.43 and 4,849.06 is: 7,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.08 : 9,354.43 = 4,849.06 : x
  2. Step 2: Convert to fraction form
    6,242.08/9,354.43 = 4,849.06/x
  3. Step 3: Cross multiply
    6,242.08x = 9,354.43 × 4,849.06
  4. Step 4: Simplify right side
    6,242.08x = 45,360,192.34
  5. Step 5: Solve for x
    x = 45,360,192.34/6,242.08
  6. Step 6: Final answer
    x = 7,266.84

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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.