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Finding the Fourth Proportional to 9,054.56, 13,580.16 and 2,813.66

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Solution

The fourth proportional to 9,054.56, 13,580.16 and 2,813.66 is: 4,219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054.56 : 13,580.16 = 2,813.66 : x
  2. Step 2: Convert to fraction form
    9,054.56/13,580.16 = 2,813.66/x
  3. Step 3: Cross multiply
    9,054.56x = 13,580.16 × 2,813.66
  4. Step 4: Simplify right side
    9,054.56x = 38,209,952.99
  5. Step 5: Solve for x
    x = 38,209,952.99/9,054.56
  6. Step 6: Final answer
    x = 4,219.97

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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.