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Finding the Fourth Proportional to 9,394.56, 14,079.40 and 5,002.56

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Solution

The fourth proportional to 9,394.56, 14,079.40 and 5,002.56 is: 7,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.56 : 14,079.40 = 5,002.56 : x
  2. Step 2: Convert to fraction form
    9,394.56/14,079.40 = 5,002.56/x
  3. Step 3: Cross multiply
    9,394.56x = 14,079.40 × 5,002.56
  4. Step 4: Simplify right side
    9,394.56x = 70,433,043.26
  5. Step 5: Solve for x
    x = 70,433,043.26/9,394.56
  6. Step 6: Final answer
    x = 7,497.22

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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.