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Finding the Fourth Proportional to 9,411.44, 14,117.22 and 2,837.60

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Solution

The fourth proportional to 9,411.44, 14,117.22 and 2,837.60 is: 4,256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.44 : 14,117.22 = 2,837.60 : x
  2. Step 2: Convert to fraction form
    9,411.44/14,117.22 = 2,837.60/x
  3. Step 3: Cross multiply
    9,411.44x = 14,117.22 × 2,837.60
  4. Step 4: Simplify right side
    9,411.44x = 40,059,023.47
  5. Step 5: Solve for x
    x = 40,059,023.47/9,411.44
  6. Step 6: Final answer
    x = 4,256.42

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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.