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Finding the Fourth Proportional to 6,525.57, 9,788.36 and 4,586.43

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Solution

The fourth proportional to 6,525.57, 9,788.36 and 4,586.43 is: 6,879.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.57 : 9,788.36 = 4,586.43 : x
  2. Step 2: Convert to fraction form
    6,525.57/9,788.36 = 4,586.43/x
  3. Step 3: Cross multiply
    6,525.57x = 9,788.36 × 4,586.43
  4. Step 4: Simplify right side
    6,525.57x = 44,893,605.02
  5. Step 5: Solve for x
    x = 44,893,605.02/6,525.57
  6. Step 6: Final answer
    x = 6,879.65

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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.