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Finding the Fourth Proportional to 9,094.20, 13,617 and 5,193.24

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Solution

The fourth proportional to 9,094.20, 13,617 and 5,193.24 is: 7,775.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.20 : 13,617 = 5,193.24 : x
  2. Step 2: Convert to fraction form
    9,094.20/13,617 = 5,193.24/x
  3. Step 3: Cross multiply
    9,094.20x = 13,617 × 5,193.24
  4. Step 4: Simplify right side
    9,094.20x = 70,716,349.08
  5. Step 5: Solve for x
    x = 70,716,349.08/9,094.20
  6. Step 6: Final answer
    x = 7,775.98

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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.