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Finding the Fourth Proportional to 9,256.85, 13,886.71 and 3,015.40

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Solution

The fourth proportional to 9,256.85, 13,886.71 and 3,015.40 is: 4,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.85 : 13,886.71 = 3,015.40 : x
  2. Step 2: Convert to fraction form
    9,256.85/13,886.71 = 3,015.40/x
  3. Step 3: Cross multiply
    9,256.85x = 13,886.71 × 3,015.40
  4. Step 4: Simplify right side
    9,256.85x = 41,873,985.33
  5. Step 5: Solve for x
    x = 41,873,985.33/9,256.85
  6. Step 6: Final answer
    x = 4,523.57

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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.