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Finding the Fourth Proportional to 9,544.48, 13,172.04 and 5,353

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Solution

The fourth proportional to 9,544.48, 13,172.04 and 5,353 is: 7,387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.48 : 13,172.04 = 5,353 : x
  2. Step 2: Convert to fraction form
    9,544.48/13,172.04 = 5,353/x
  3. Step 3: Cross multiply
    9,544.48x = 13,172.04 × 5,353
  4. Step 4: Simplify right side
    9,544.48x = 70,509,930.12
  5. Step 5: Solve for x
    x = 70,509,930.12/9,544.48
  6. Step 6: Final answer
    x = 7,387.51

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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.