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Finding the Fourth Proportional to 9,824.54, 14,735.73 and 2,899.58

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Solution

The fourth proportional to 9,824.54, 14,735.73 and 2,899.58 is: 4,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.54 : 14,735.73 = 2,899.58 : x
  2. Step 2: Convert to fraction form
    9,824.54/14,735.73 = 2,899.58/x
  3. Step 3: Cross multiply
    9,824.54x = 14,735.73 × 2,899.58
  4. Step 4: Simplify right side
    9,824.54x = 42,727,427.99
  5. Step 5: Solve for x
    x = 42,727,427.99/9,824.54
  6. Step 6: Final answer
    x = 4,349.05

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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.