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Finding the Fourth Proportional to 9,345, 14,017.50 and 3,801.36

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Solution

The fourth proportional to 9,345, 14,017.50 and 3,801.36 is: 5,702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345 : 14,017.50 = 3,801.36 : x
  2. Step 2: Convert to fraction form
    9,345/14,017.50 = 3,801.36/x
  3. Step 3: Cross multiply
    9,345x = 14,017.50 × 3,801.36
  4. Step 4: Simplify right side
    9,345x = 53,285,563.80
  5. Step 5: Solve for x
    x = 53,285,563.80/9,345
  6. Step 6: Final answer
    x = 5,702.04

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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.