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Finding the Fourth Proportional to 9,203.56, 13,801.06 and 2,962.40

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Solution

The fourth proportional to 9,203.56, 13,801.06 and 2,962.40 is: 4,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.56 : 13,801.06 = 2,962.40 : x
  2. Step 2: Convert to fraction form
    9,203.56/13,801.06 = 2,962.40/x
  3. Step 3: Cross multiply
    9,203.56x = 13,801.06 × 2,962.40
  4. Step 4: Simplify right side
    9,203.56x = 40,884,260.14
  5. Step 5: Solve for x
    x = 40,884,260.14/9,203.56
  6. Step 6: Final answer
    x = 4,442.22

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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.