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Finding the Fourth Proportional to 9,551.88, 14,333.76 and 5,172.24

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Solution

The fourth proportional to 9,551.88, 14,333.76 and 5,172.24 is: 7,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.88 : 14,333.76 = 5,172.24 : x
  2. Step 2: Convert to fraction form
    9,551.88/14,333.76 = 5,172.24/x
  3. Step 3: Cross multiply
    9,551.88x = 14,333.76 × 5,172.24
  4. Step 4: Simplify right side
    9,551.88x = 74,137,646.82
  5. Step 5: Solve for x
    x = 74,137,646.82/9,551.88
  6. Step 6: Final answer
    x = 7,761.58

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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.