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Finding the Fourth Proportional to 9,585.11, 14,383.22 and 4,038

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Solution

The fourth proportional to 9,585.11, 14,383.22 and 4,038 is: 6,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.11 : 14,383.22 = 4,038 : x
  2. Step 2: Convert to fraction form
    9,585.11/14,383.22 = 4,038/x
  3. Step 3: Cross multiply
    9,585.11x = 14,383.22 × 4,038
  4. Step 4: Simplify right side
    9,585.11x = 58,079,422.17
  5. Step 5: Solve for x
    x = 58,079,422.17/9,585.11
  6. Step 6: Final answer
    x = 6,059.34

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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.