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Finding the Fourth Proportional to 9,257.63, 13,886.44 and 2,332.13

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Solution

The fourth proportional to 9,257.63, 13,886.44 and 2,332.13 is: 3,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.63 : 13,886.44 = 2,332.13 : x
  2. Step 2: Convert to fraction form
    9,257.63/13,886.44 = 2,332.13/x
  3. Step 3: Cross multiply
    9,257.63x = 13,886.44 × 2,332.13
  4. Step 4: Simplify right side
    9,257.63x = 32,384,908.05
  5. Step 5: Solve for x
    x = 32,384,908.05/9,257.63
  6. Step 6: Final answer
    x = 3,498.19

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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.