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Finding the Fourth Proportional to 9,566.09, 13,203.99 and 6,589.34

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Solution

The fourth proportional to 9,566.09, 13,203.99 and 6,589.34 is: 9,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.09 : 13,203.99 = 6,589.34 : x
  2. Step 2: Convert to fraction form
    9,566.09/13,203.99 = 6,589.34/x
  3. Step 3: Cross multiply
    9,566.09x = 13,203.99 × 6,589.34
  4. Step 4: Simplify right side
    9,566.09x = 87,005,513.45
  5. Step 5: Solve for x
    x = 87,005,513.45/9,566.09
  6. Step 6: Final answer
    x = 9,095.21

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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.