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Finding the Fourth Proportional to 9,981.94, 13,775.14 and 5,505.81

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Solution

The fourth proportional to 9,981.94, 13,775.14 and 5,505.81 is: 7,598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.94 : 13,775.14 = 5,505.81 : x
  2. Step 2: Convert to fraction form
    9,981.94/13,775.14 = 5,505.81/x
  3. Step 3: Cross multiply
    9,981.94x = 13,775.14 × 5,505.81
  4. Step 4: Simplify right side
    9,981.94x = 75,843,289.80
  5. Step 5: Solve for x
    x = 75,843,289.80/9,981.94
  6. Step 6: Final answer
    x = 7,598.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.