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Finding the Fourth Proportional to 9,344.52, 14,018.02 and 3,798.06

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Solution

The fourth proportional to 9,344.52, 14,018.02 and 3,798.06 is: 5,697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.52 : 14,018.02 = 3,798.06 : x
  2. Step 2: Convert to fraction form
    9,344.52/14,018.02 = 3,798.06/x
  3. Step 3: Cross multiply
    9,344.52x = 14,018.02 × 3,798.06
  4. Step 4: Simplify right side
    9,344.52x = 53,241,281.04
  5. Step 5: Solve for x
    x = 53,241,281.04/9,344.52
  6. Step 6: Final answer
    x = 5,697.59

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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.