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Finding the Fourth Proportional to 9,673.20, 14,510.88 and 3,431.88

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Solution

The fourth proportional to 9,673.20, 14,510.88 and 3,431.88 is: 5,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.20 : 14,510.88 = 3,431.88 : x
  2. Step 2: Convert to fraction form
    9,673.20/14,510.88 = 3,431.88/x
  3. Step 3: Cross multiply
    9,673.20x = 14,510.88 × 3,431.88
  4. Step 4: Simplify right side
    9,673.20x = 49,799,598.85
  5. Step 5: Solve for x
    x = 49,799,598.85/9,673.20
  6. Step 6: Final answer
    x = 5,148.20

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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.