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Finding the Fourth Proportional to 9,862.62, 14,798.24 and 5,181.54

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Solution

The fourth proportional to 9,862.62, 14,798.24 and 5,181.54 is: 7,774.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.62 : 14,798.24 = 5,181.54 : x
  2. Step 2: Convert to fraction form
    9,862.62/14,798.24 = 5,181.54/x
  3. Step 3: Cross multiply
    9,862.62x = 14,798.24 × 5,181.54
  4. Step 4: Simplify right side
    9,862.62x = 76,677,672.49
  5. Step 5: Solve for x
    x = 76,677,672.49/9,862.62
  6. Step 6: Final answer
    x = 7,774.57

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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.