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Finding the Fourth Proportional to 9,923.67, 14,889.14 and 7,153.47

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Solution

The fourth proportional to 9,923.67, 14,889.14 and 7,153.47 is: 10,732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.67 : 14,889.14 = 7,153.47 : x
  2. Step 2: Convert to fraction form
    9,923.67/14,889.14 = 7,153.47/x
  3. Step 3: Cross multiply
    9,923.67x = 14,889.14 × 7,153.47
  4. Step 4: Simplify right side
    9,923.67x = 106,509,016.32
  5. Step 5: Solve for x
    x = 106,509,016.32/9,923.67
  6. Step 6: Final answer
    x = 10,732.83

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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.