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Finding the Fourth Proportional to 9,904.38, 13,664.16 and 5,654.28

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Solution

The fourth proportional to 9,904.38, 13,664.16 and 5,654.28 is: 7,800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.38 : 13,664.16 = 5,654.28 : x
  2. Step 2: Convert to fraction form
    9,904.38/13,664.16 = 5,654.28/x
  3. Step 3: Cross multiply
    9,904.38x = 13,664.16 × 5,654.28
  4. Step 4: Simplify right side
    9,904.38x = 77,260,986.60
  5. Step 5: Solve for x
    x = 77,260,986.60/9,904.38
  6. Step 6: Final answer
    x = 7,800.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.