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Finding the Fourth Proportional to 9,225, 13,815.54 and 5,317.56

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Solution

The fourth proportional to 9,225, 13,815.54 and 5,317.56 is: 7,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225 : 13,815.54 = 5,317.56 : x
  2. Step 2: Convert to fraction form
    9,225/13,815.54 = 5,317.56/x
  3. Step 3: Cross multiply
    9,225x = 13,815.54 × 5,317.56
  4. Step 4: Simplify right side
    9,225x = 73,464,962.88
  5. Step 5: Solve for x
    x = 73,464,962.88/9,225
  6. Step 6: Final answer
    x = 7,963.68

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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.