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Finding the Fourth Proportional to 9,820.31, 14,732.76 and 3,246.49

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Solution

The fourth proportional to 9,820.31, 14,732.76 and 3,246.49 is: 4,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.31 : 14,732.76 = 3,246.49 : x
  2. Step 2: Convert to fraction form
    9,820.31/14,732.76 = 3,246.49/x
  3. Step 3: Cross multiply
    9,820.31x = 14,732.76 × 3,246.49
  4. Step 4: Simplify right side
    9,820.31x = 47,829,758.01
  5. Step 5: Solve for x
    x = 47,829,758.01/9,820.31
  6. Step 6: Final answer
    x = 4,870.50

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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.