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Finding the Fourth Proportional to 6,594.36, 9,096.12 and 4,077.24

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Solution

The fourth proportional to 6,594.36, 9,096.12 and 4,077.24 is: 5,624.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.36 : 9,096.12 = 4,077.24 : x
  2. Step 2: Convert to fraction form
    6,594.36/9,096.12 = 4,077.24/x
  3. Step 3: Cross multiply
    6,594.36x = 9,096.12 × 4,077.24
  4. Step 4: Simplify right side
    6,594.36x = 37,087,064.31
  5. Step 5: Solve for x
    x = 37,087,064.31/6,594.36
  6. Step 6: Final answer
    x = 5,624.06

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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.