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Finding the Fourth Proportional to 9,354.35, 14,019.35 and 3,801.20

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Solution

The fourth proportional to 9,354.35, 14,019.35 and 3,801.20 is: 5,696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.35 : 14,019.35 = 3,801.20 : x
  2. Step 2: Convert to fraction form
    9,354.35/14,019.35 = 3,801.20/x
  3. Step 3: Cross multiply
    9,354.35x = 14,019.35 × 3,801.20
  4. Step 4: Simplify right side
    9,354.35x = 53,290,264.12
  5. Step 5: Solve for x
    x = 53,290,264.12/9,354.35
  6. Step 6: Final answer
    x = 5,696.84

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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.