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Finding the Fourth Proportional to 9,203.64, 13,806.76 and 2,962.20

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Solution

The fourth proportional to 9,203.64, 13,806.76 and 2,962.20 is: 4,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.64 : 13,806.76 = 2,962.20 : x
  2. Step 2: Convert to fraction form
    9,203.64/13,806.76 = 2,962.20/x
  3. Step 3: Cross multiply
    9,203.64x = 13,806.76 × 2,962.20
  4. Step 4: Simplify right side
    9,203.64x = 40,898,384.47
  5. Step 5: Solve for x
    x = 40,898,384.47/9,203.64
  6. Step 6: Final answer
    x = 4,443.72

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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.