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Finding the Fourth Proportional to 9,275.76, 13,913.54 and 2,255.87

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Solution

The fourth proportional to 9,275.76, 13,913.54 and 2,255.87 is: 3,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.76 : 13,913.54 = 2,255.87 : x
  2. Step 2: Convert to fraction form
    9,275.76/13,913.54 = 2,255.87/x
  3. Step 3: Cross multiply
    9,275.76x = 13,913.54 × 2,255.87
  4. Step 4: Simplify right side
    9,275.76x = 31,387,056.63
  5. Step 5: Solve for x
    x = 31,387,056.63/9,275.76
  6. Step 6: Final answer
    x = 3,383.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.