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Finding the Fourth Proportional to 9,723.92, 14,590.50 and 4,797.74

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Solution

The fourth proportional to 9,723.92, 14,590.50 and 4,797.74 is: 7,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.92 : 14,590.50 = 4,797.74 : x
  2. Step 2: Convert to fraction form
    9,723.92/14,590.50 = 4,797.74/x
  3. Step 3: Cross multiply
    9,723.92x = 14,590.50 × 4,797.74
  4. Step 4: Simplify right side
    9,723.92x = 70,001,425.47
  5. Step 5: Solve for x
    x = 70,001,425.47/9,723.92
  6. Step 6: Final answer
    x = 7,198.89

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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.