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Finding the Fourth Proportional to 9,870.96, 14,809.19 and 5,491.50

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Solution

The fourth proportional to 9,870.96, 14,809.19 and 5,491.50 is: 8,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.96 : 14,809.19 = 5,491.50 : x
  2. Step 2: Convert to fraction form
    9,870.96/14,809.19 = 5,491.50/x
  3. Step 3: Cross multiply
    9,870.96x = 14,809.19 × 5,491.50
  4. Step 4: Simplify right side
    9,870.96x = 81,324,666.89
  5. Step 5: Solve for x
    x = 81,324,666.89/9,870.96
  6. Step 6: Final answer
    x = 8,238.78

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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.