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Finding the Fourth Proportional to 9,816.67, 14,688.07 and 5,437.20

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Solution

The fourth proportional to 9,816.67, 14,688.07 and 5,437.20 is: 8,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.67 : 14,688.07 = 5,437.20 : x
  2. Step 2: Convert to fraction form
    9,816.67/14,688.07 = 5,437.20/x
  3. Step 3: Cross multiply
    9,816.67x = 14,688.07 × 5,437.20
  4. Step 4: Simplify right side
    9,816.67x = 79,861,974.20
  5. Step 5: Solve for x
    x = 79,861,974.20/9,816.67
  6. Step 6: Final answer
    x = 8,135.34

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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.