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Finding the Fourth Proportional to 6,594.96, 9,102.68 and 4,474.03

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Solution

The fourth proportional to 6,594.96, 9,102.68 and 4,474.03 is: 6,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.96 : 9,102.68 = 4,474.03 : x
  2. Step 2: Convert to fraction form
    6,594.96/9,102.68 = 4,474.03/x
  3. Step 3: Cross multiply
    6,594.96x = 9,102.68 × 4,474.03
  4. Step 4: Simplify right side
    6,594.96x = 40,725,663.40
  5. Step 5: Solve for x
    x = 40,725,663.40/6,594.96
  6. Step 6: Final answer
    x = 6,175.27

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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.