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Finding the Fourth Proportional to 9,336.03, 14,001.14 and 3,094.64

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Solution

The fourth proportional to 9,336.03, 14,001.14 and 3,094.64 is: 4,640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.03 : 14,001.14 = 3,094.64 : x
  2. Step 2: Convert to fraction form
    9,336.03/14,001.14 = 3,094.64/x
  3. Step 3: Cross multiply
    9,336.03x = 14,001.14 × 3,094.64
  4. Step 4: Simplify right side
    9,336.03x = 43,328,402.41
  5. Step 5: Solve for x
    x = 43,328,402.41/9,336.03
  6. Step 6: Final answer
    x = 4,640.99

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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.