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Finding the Fourth Proportional to 9,094.86, 13,649.18 and 4,098.78

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Solution

The fourth proportional to 9,094.86, 13,649.18 and 4,098.78 is: 6,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.86 : 13,649.18 = 4,098.78 : x
  2. Step 2: Convert to fraction form
    9,094.86/13,649.18 = 4,098.78/x
  3. Step 3: Cross multiply
    9,094.86x = 13,649.18 × 4,098.78
  4. Step 4: Simplify right side
    9,094.86x = 55,944,965.51
  5. Step 5: Solve for x
    x = 55,944,965.51/9,094.86
  6. Step 6: Final answer
    x = 6,151.27

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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.