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Finding the Fourth Proportional to 9,250.16, 13,877.16 and 3,094

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Solution

The fourth proportional to 9,250.16, 13,877.16 and 3,094 is: 4,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.16 : 13,877.16 = 3,094 : x
  2. Step 2: Convert to fraction form
    9,250.16/13,877.16 = 3,094/x
  3. Step 3: Cross multiply
    9,250.16x = 13,877.16 × 3,094
  4. Step 4: Simplify right side
    9,250.16x = 42,935,933.04
  5. Step 5: Solve for x
    x = 42,935,933.04/9,250.16
  6. Step 6: Final answer
    x = 4,641.64

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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.