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Finding the Fourth Proportional to 9,119.98, 12,585.72 and 5,141.29

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Solution

The fourth proportional to 9,119.98, 12,585.72 and 5,141.29 is: 7,095.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.98 : 12,585.72 = 5,141.29 : x
  2. Step 2: Convert to fraction form
    9,119.98/12,585.72 = 5,141.29/x
  3. Step 3: Cross multiply
    9,119.98x = 12,585.72 × 5,141.29
  4. Step 4: Simplify right side
    9,119.98x = 64,706,836.38
  5. Step 5: Solve for x
    x = 64,706,836.38/9,119.98
  6. Step 6: Final answer
    x = 7,095.06

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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.