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Finding the Fourth Proportional to 9,303.44, 13,952.28 and 3,146

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Solution

The fourth proportional to 9,303.44, 13,952.28 and 3,146 is: 4,718.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.44 : 13,952.28 = 3,146 : x
  2. Step 2: Convert to fraction form
    9,303.44/13,952.28 = 3,146/x
  3. Step 3: Cross multiply
    9,303.44x = 13,952.28 × 3,146
  4. Step 4: Simplify right side
    9,303.44x = 43,893,872.88
  5. Step 5: Solve for x
    x = 43,893,872.88/9,303.44
  6. Step 6: Final answer
    x = 4,718.03

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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.