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Finding the Fourth Proportional to 9,358.36, 14,041.88 and 4,165.72

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Solution

The fourth proportional to 9,358.36, 14,041.88 and 4,165.72 is: 6,250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.36 : 14,041.88 = 4,165.72 : x
  2. Step 2: Convert to fraction form
    9,358.36/14,041.88 = 4,165.72/x
  3. Step 3: Cross multiply
    9,358.36x = 14,041.88 × 4,165.72
  4. Step 4: Simplify right side
    9,358.36x = 58,494,540.35
  5. Step 5: Solve for x
    x = 58,494,540.35/9,358.36
  6. Step 6: Final answer
    x = 6,250.51

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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.