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Finding the Fourth Proportional to 9,276.86, 13,915.14 and 2,256.94

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Solution

The fourth proportional to 9,276.86, 13,915.14 and 2,256.94 is: 3,385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276.86 : 13,915.14 = 2,256.94 : x
  2. Step 2: Convert to fraction form
    9,276.86/13,915.14 = 2,256.94/x
  3. Step 3: Cross multiply
    9,276.86x = 13,915.14 × 2,256.94
  4. Step 4: Simplify right side
    9,276.86x = 31,405,636.07
  5. Step 5: Solve for x
    x = 31,405,636.07/9,276.86
  6. Step 6: Final answer
    x = 3,385.37

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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.