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Finding the Fourth Proportional to 9,054, 12,493.44 and 5,277.96

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Solution

The fourth proportional to 9,054, 12,493.44 and 5,277.96 is: 7,282.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054 : 12,493.44 = 5,277.96 : x
  2. Step 2: Convert to fraction form
    9,054/12,493.44 = 5,277.96/x
  3. Step 3: Cross multiply
    9,054x = 12,493.44 × 5,277.96
  4. Step 4: Simplify right side
    9,054x = 65,939,876.58
  5. Step 5: Solve for x
    x = 65,939,876.58/9,054
  6. Step 6: Final answer
    x = 7,282.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.