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Finding the Fourth Proportional to 6,345.89, 9,518.85 and 1,728.89

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Solution

The fourth proportional to 6,345.89, 9,518.85 and 1,728.89 is: 2,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.89 : 9,518.85 = 1,728.89 : x
  2. Step 2: Convert to fraction form
    6,345.89/9,518.85 = 1,728.89/x
  3. Step 3: Cross multiply
    6,345.89x = 9,518.85 × 1,728.89
  4. Step 4: Simplify right side
    6,345.89x = 16,457,044.58
  5. Step 5: Solve for x
    x = 16,457,044.58/6,345.89
  6. Step 6: Final answer
    x = 2,593.34

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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.