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Finding the Fourth Proportional to 6,341.85, 9,513.63 and 5,992.10

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Solution

The fourth proportional to 6,341.85, 9,513.63 and 5,992.10 is: 8,988.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.85 : 9,513.63 = 5,992.10 : x
  2. Step 2: Convert to fraction form
    6,341.85/9,513.63 = 5,992.10/x
  3. Step 3: Cross multiply
    6,341.85x = 9,513.63 × 5,992.10
  4. Step 4: Simplify right side
    6,341.85x = 57,006,622.32
  5. Step 5: Solve for x
    x = 57,006,622.32/6,341.85
  6. Step 6: Final answer
    x = 8,988.96

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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.