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Finding the Fourth Proportional to 9,866.34, 14,802.25 and 5,486.87

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Solution

The fourth proportional to 9,866.34, 14,802.25 and 5,486.87 is: 8,231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.34 : 14,802.25 = 5,486.87 : x
  2. Step 2: Convert to fraction form
    9,866.34/14,802.25 = 5,486.87/x
  3. Step 3: Cross multiply
    9,866.34x = 14,802.25 × 5,486.87
  4. Step 4: Simplify right side
    9,866.34x = 81,217,947.45
  5. Step 5: Solve for x
    x = 81,217,947.45/9,866.34
  6. Step 6: Final answer
    x = 8,231.83

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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.