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Finding the Fourth Proportional to 9,356.85, 14,023.10 and 3,803.72

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Solution

The fourth proportional to 9,356.85, 14,023.10 and 3,803.72 is: 5,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.85 : 14,023.10 = 3,803.72 : x
  2. Step 2: Convert to fraction form
    9,356.85/14,023.10 = 3,803.72/x
  3. Step 3: Cross multiply
    9,356.85x = 14,023.10 × 3,803.72
  4. Step 4: Simplify right side
    9,356.85x = 53,339,885.33
  5. Step 5: Solve for x
    x = 53,339,885.33/9,356.85
  6. Step 6: Final answer
    x = 5,700.62

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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.