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Finding the Fourth Proportional to 9,728.79, 14,590.76 and 3,882.21

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Solution

The fourth proportional to 9,728.79, 14,590.76 and 3,882.21 is: 5,822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.79 : 14,590.76 = 3,882.21 : x
  2. Step 2: Convert to fraction form
    9,728.79/14,590.76 = 3,882.21/x
  3. Step 3: Cross multiply
    9,728.79x = 14,590.76 × 3,882.21
  4. Step 4: Simplify right side
    9,728.79x = 56,644,374.97
  5. Step 5: Solve for x
    x = 56,644,374.97/9,728.79
  6. Step 6: Final answer
    x = 5,822.35

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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.