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Finding the Fourth Proportional to 7,649.60, 11,461.43 and 6,094.40

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Solution

The fourth proportional to 7,649.60, 11,461.43 and 6,094.40 is: 9,131.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.60 : 11,461.43 = 6,094.40 : x
  2. Step 2: Convert to fraction form
    7,649.60/11,461.43 = 6,094.40/x
  3. Step 3: Cross multiply
    7,649.60x = 11,461.43 × 6,094.40
  4. Step 4: Simplify right side
    7,649.60x = 69,850,496.92
  5. Step 5: Solve for x
    x = 69,850,496.92/7,649.60
  6. Step 6: Final answer
    x = 9,131.27

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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.