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Finding the Fourth Proportional to 6,911.92, 9,541.62 and 4,647.16

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Solution

The fourth proportional to 6,911.92, 9,541.62 and 4,647.16 is: 6,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.92 : 9,541.62 = 4,647.16 : x
  2. Step 2: Convert to fraction form
    6,911.92/9,541.62 = 4,647.16/x
  3. Step 3: Cross multiply
    6,911.92x = 9,541.62 × 4,647.16
  4. Step 4: Simplify right side
    6,911.92x = 44,341,434.80
  5. Step 5: Solve for x
    x = 44,341,434.80/6,911.92
  6. Step 6: Final answer
    x = 6,415.21

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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.