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Finding the Fourth Proportional to 6,891.04, 9,509.89 and 4,096.00

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Solution

The fourth proportional to 6,891.04, 9,509.89 and 4,096.00 is: 5,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.04 : 9,509.89 = 4,096.00 : x
  2. Step 2: Convert to fraction form
    6,891.04/9,509.89 = 4,096.00/x
  3. Step 3: Cross multiply
    6,891.04x = 9,509.89 × 4,096.00
  4. Step 4: Simplify right side
    6,891.04x = 38,952,461.89
  5. Step 5: Solve for x
    x = 38,952,461.89/6,891.04
  6. Step 6: Final answer
    x = 5,652.63

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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.