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Finding the Fourth Proportional to 9,337.10, 14,007.47 and 3,098.97

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Solution

The fourth proportional to 9,337.10, 14,007.47 and 3,098.97 is: 4,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.10 : 14,007.47 = 3,098.97 : x
  2. Step 2: Convert to fraction form
    9,337.10/14,007.47 = 3,098.97/x
  3. Step 3: Cross multiply
    9,337.10x = 14,007.47 × 3,098.97
  4. Step 4: Simplify right side
    9,337.10x = 43,408,713.81
  5. Step 5: Solve for x
    x = 43,408,713.81/9,337.10
  6. Step 6: Final answer
    x = 4,649.06

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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.