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Finding the Fourth Proportional to 9,256.65, 13,886.49 and 2,931.96

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Solution

The fourth proportional to 9,256.65, 13,886.49 and 2,931.96 is: 4,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.65 : 13,886.49 = 2,931.96 : x
  2. Step 2: Convert to fraction form
    9,256.65/13,886.49 = 2,931.96/x
  3. Step 3: Cross multiply
    9,256.65x = 13,886.49 × 2,931.96
  4. Step 4: Simplify right side
    9,256.65x = 40,714,633.22
  5. Step 5: Solve for x
    x = 40,714,633.22/9,256.65
  6. Step 6: Final answer
    x = 4,398.42

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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.