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Finding the Fourth Proportional to 6,874.00, 9,485.30 and 4,041.16

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Solution

The fourth proportional to 6,874.00, 9,485.30 and 4,041.16 is: 5,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.00 : 9,485.30 = 4,041.16 : x
  2. Step 2: Convert to fraction form
    6,874.00/9,485.30 = 4,041.16/x
  3. Step 3: Cross multiply
    6,874.00x = 9,485.30 × 4,041.16
  4. Step 4: Simplify right side
    6,874.00x = 38,331,601.34
  5. Step 5: Solve for x
    x = 38,331,601.34/6,874.00
  6. Step 6: Final answer
    x = 5,576.32

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Why These Related Problems?

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