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Finding the Fourth Proportional to 9,923.48, 14,885.20 and 7,733.85

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Solution

The fourth proportional to 9,923.48, 14,885.20 and 7,733.85 is: 11,600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.48 : 14,885.20 = 7,733.85 : x
  2. Step 2: Convert to fraction form
    9,923.48/14,885.20 = 7,733.85/x
  3. Step 3: Cross multiply
    9,923.48x = 14,885.20 × 7,733.85
  4. Step 4: Simplify right side
    9,923.48x = 115,119,904.02
  5. Step 5: Solve for x
    x = 115,119,904.02/9,923.48
  6. Step 6: Final answer
    x = 11,600.76

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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.