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Finding the Fourth Proportional to 9,722.56, 14,581.62 and 4,724.77

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Solution

The fourth proportional to 9,722.56, 14,581.62 and 4,724.77 is: 7,086.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.56 : 14,581.62 = 4,724.77 : x
  2. Step 2: Convert to fraction form
    9,722.56/14,581.62 = 4,724.77/x
  3. Step 3: Cross multiply
    9,722.56x = 14,581.62 × 4,724.77
  4. Step 4: Simplify right side
    9,722.56x = 68,894,800.73
  5. Step 5: Solve for x
    x = 68,894,800.73/9,722.56
  6. Step 6: Final answer
    x = 7,086.08

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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.