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Finding the Fourth Proportional to 9,494.78, 14,242.40 and 2,921.01

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Solution

The fourth proportional to 9,494.78, 14,242.40 and 2,921.01 is: 4,381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.78 : 14,242.40 = 2,921.01 : x
  2. Step 2: Convert to fraction form
    9,494.78/14,242.40 = 2,921.01/x
  3. Step 3: Cross multiply
    9,494.78x = 14,242.40 × 2,921.01
  4. Step 4: Simplify right side
    9,494.78x = 41,602,178.22
  5. Step 5: Solve for x
    x = 41,602,178.22/9,494.78
  6. Step 6: Final answer
    x = 4,381.59

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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.