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Finding the Fourth Proportional to 9,431.10, 14,141.52 and 3,803.76

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Solution

The fourth proportional to 9,431.10, 14,141.52 and 3,803.76 is: 5,703.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.10 : 14,141.52 = 3,803.76 : x
  2. Step 2: Convert to fraction form
    9,431.10/14,141.52 = 3,803.76/x
  3. Step 3: Cross multiply
    9,431.10x = 14,141.52 × 3,803.76
  4. Step 4: Simplify right side
    9,431.10x = 53,790,948.12
  5. Step 5: Solve for x
    x = 53,790,948.12/9,431.10
  6. Step 6: Final answer
    x = 5,703.57

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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.