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Finding the Fourth Proportional to 9,256.86, 13,897.56 and 5,515.56

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Solution

The fourth proportional to 9,256.86, 13,897.56 and 5,515.56 is: 8,280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.86 : 13,897.56 = 5,515.56 : x
  2. Step 2: Convert to fraction form
    9,256.86/13,897.56 = 5,515.56/x
  3. Step 3: Cross multiply
    9,256.86x = 13,897.56 × 5,515.56
  4. Step 4: Simplify right side
    9,256.86x = 76,652,826.03
  5. Step 5: Solve for x
    x = 76,652,826.03/9,256.86
  6. Step 6: Final answer
    x = 8,280.65

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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.