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Finding the Fourth Proportional to 9,928.64, 14,893.00 and 3,354.89

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Solution

The fourth proportional to 9,928.64, 14,893.00 and 3,354.89 is: 5,032.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.64 : 14,893.00 = 3,354.89 : x
  2. Step 2: Convert to fraction form
    9,928.64/14,893.00 = 3,354.89/x
  3. Step 3: Cross multiply
    9,928.64x = 14,893.00 × 3,354.89
  4. Step 4: Simplify right side
    9,928.64x = 49,964,293.92
  5. Step 5: Solve for x
    x = 49,964,293.92/9,928.64
  6. Step 6: Final answer
    x = 5,032.34

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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.