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Finding the Fourth Proportional to 6,147.48, 8,477.16 and 4,354.14

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Solution

The fourth proportional to 6,147.48, 8,477.16 and 4,354.14 is: 6,004.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.48 : 8,477.16 = 4,354.14 : x
  2. Step 2: Convert to fraction form
    6,147.48/8,477.16 = 4,354.14/x
  3. Step 3: Cross multiply
    6,147.48x = 8,477.16 × 4,354.14
  4. Step 4: Simplify right side
    6,147.48x = 36,910,741.44
  5. Step 5: Solve for x
    x = 36,910,741.44/6,147.48
  6. Step 6: Final answer
    x = 6,004.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.