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Finding the Fourth Proportional to 6,546.77, 9,040.00 and 6,071.91

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Solution

The fourth proportional to 6,546.77, 9,040.00 and 6,071.91 is: 8,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.77 : 9,040.00 = 6,071.91 : x
  2. Step 2: Convert to fraction form
    6,546.77/9,040.00 = 6,071.91/x
  3. Step 3: Cross multiply
    6,546.77x = 9,040.00 × 6,071.91
  4. Step 4: Simplify right side
    6,546.77x = 54,890,017.32
  5. Step 5: Solve for x
    x = 54,890,017.32/6,546.77
  6. Step 6: Final answer
    x = 8,384.29

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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.