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Finding the Fourth Proportional to 9,904.10, 13,667.81 and 5,925.38

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Solution

The fourth proportional to 9,904.10, 13,667.81 and 5,925.38 is: 8,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.10 : 13,667.81 = 5,925.38 : x
  2. Step 2: Convert to fraction form
    9,904.10/13,667.81 = 5,925.38/x
  3. Step 3: Cross multiply
    9,904.10x = 13,667.81 × 5,925.38
  4. Step 4: Simplify right side
    9,904.10x = 80,986,870.05
  5. Step 5: Solve for x
    x = 80,986,870.05/9,904.10
  6. Step 6: Final answer
    x = 8,177.11

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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.