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Finding the Fourth Proportional to 9,981.94, 13,775.18 and 5,505.86

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Solution

The fourth proportional to 9,981.94, 13,775.18 and 5,505.86 is: 7,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.94 : 13,775.18 = 5,505.86 : x
  2. Step 2: Convert to fraction form
    9,981.94/13,775.18 = 5,505.86/x
  3. Step 3: Cross multiply
    9,981.94x = 13,775.18 × 5,505.86
  4. Step 4: Simplify right side
    9,981.94x = 75,844,172.95
  5. Step 5: Solve for x
    x = 75,844,172.95/9,981.94
  6. Step 6: Final answer
    x = 7,598.14

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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.