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Finding the Fourth Proportional to 9,094.95, 13,643.00 and 2,855.20

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Solution

The fourth proportional to 9,094.95, 13,643.00 and 2,855.20 is: 4,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.95 : 13,643.00 = 2,855.20 : x
  2. Step 2: Convert to fraction form
    9,094.95/13,643.00 = 2,855.20/x
  3. Step 3: Cross multiply
    9,094.95x = 13,643.00 × 2,855.20
  4. Step 4: Simplify right side
    9,094.95x = 38,953,481.50
  5. Step 5: Solve for x
    x = 38,953,481.50/9,094.95
  6. Step 6: Final answer
    x = 4,282.98

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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.