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Finding the Fourth Proportional to 9,261.94, 13,886.72 and 5,103.94

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Solution

The fourth proportional to 9,261.94, 13,886.72 and 5,103.94 is: 7,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.94 : 13,886.72 = 5,103.94 : x
  2. Step 2: Convert to fraction form
    9,261.94/13,886.72 = 5,103.94/x
  3. Step 3: Cross multiply
    9,261.94x = 13,886.72 × 5,103.94
  4. Step 4: Simplify right side
    9,261.94x = 70,876,985.68
  5. Step 5: Solve for x
    x = 70,876,985.68/9,261.94
  6. Step 6: Final answer
    x = 7,652.50

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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.