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Finding the Fourth Proportional to 6,589.62, 9,095.98 and 4,073.66

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Solution

The fourth proportional to 6,589.62, 9,095.98 and 4,073.66 is: 5,623.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.62 : 9,095.98 = 4,073.66 : x
  2. Step 2: Convert to fraction form
    6,589.62/9,095.98 = 4,073.66/x
  3. Step 3: Cross multiply
    6,589.62x = 9,095.98 × 4,073.66
  4. Step 4: Simplify right side
    6,589.62x = 37,053,929.89
  5. Step 5: Solve for x
    x = 37,053,929.89/6,589.62
  6. Step 6: Final answer
    x = 5,623.08

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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.