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Finding the Fourth Proportional to 9,869.68, 14,799.66 and 3,624.99

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Solution

The fourth proportional to 9,869.68, 14,799.66 and 3,624.99 is: 5,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.68 : 14,799.66 = 3,624.99 : x
  2. Step 2: Convert to fraction form
    9,869.68/14,799.66 = 3,624.99/x
  3. Step 3: Cross multiply
    9,869.68x = 14,799.66 × 3,624.99
  4. Step 4: Simplify right side
    9,869.68x = 53,648,619.50
  5. Step 5: Solve for x
    x = 53,648,619.50/9,869.68
  6. Step 6: Final answer
    x = 5,435.70

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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.