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Finding the Fourth Proportional to 6,592.39, 9,890.24 and 4,648.39

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Solution

The fourth proportional to 6,592.39, 9,890.24 and 4,648.39 is: 6,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.39 : 9,890.24 = 4,648.39 : x
  2. Step 2: Convert to fraction form
    6,592.39/9,890.24 = 4,648.39/x
  3. Step 3: Cross multiply
    6,592.39x = 9,890.24 × 4,648.39
  4. Step 4: Simplify right side
    6,592.39x = 45,973,644.75
  5. Step 5: Solve for x
    x = 45,973,644.75/6,592.39
  6. Step 6: Final answer
    x = 6,973.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.