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Finding the Fourth Proportional to 9,145.59, 13,716.33 and 5,448.88

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Solution

The fourth proportional to 9,145.59, 13,716.33 and 5,448.88 is: 8,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.59 : 13,716.33 = 5,448.88 : x
  2. Step 2: Convert to fraction form
    9,145.59/13,716.33 = 5,448.88/x
  3. Step 3: Cross multiply
    9,145.59x = 13,716.33 × 5,448.88
  4. Step 4: Simplify right side
    9,145.59x = 74,738,636.21
  5. Step 5: Solve for x
    x = 74,738,636.21/9,145.59
  6. Step 6: Final answer
    x = 8,172.10

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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.