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Finding the Fourth Proportional to 6,400.20, 9,590.56 and 4,749

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Solution

The fourth proportional to 6,400.20, 9,590.56 and 4,749 is: 7,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.20 : 9,590.56 = 4,749 : x
  2. Step 2: Convert to fraction form
    6,400.20/9,590.56 = 4,749/x
  3. Step 3: Cross multiply
    6,400.20x = 9,590.56 × 4,749
  4. Step 4: Simplify right side
    6,400.20x = 45,545,569.44
  5. Step 5: Solve for x
    x = 45,545,569.44/6,400.20
  6. Step 6: Final answer
    x = 7,116.27

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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.