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Finding the Fourth Proportional to 9,374.65, 12,936.75 and 5,125.57

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Solution

The fourth proportional to 9,374.65, 12,936.75 and 5,125.57 is: 7,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.65 : 12,936.75 = 5,125.57 : x
  2. Step 2: Convert to fraction form
    9,374.65/12,936.75 = 5,125.57/x
  3. Step 3: Cross multiply
    9,374.65x = 12,936.75 × 5,125.57
  4. Step 4: Simplify right side
    9,374.65x = 66,308,166.13
  5. Step 5: Solve for x
    x = 66,308,166.13/9,374.65
  6. Step 6: Final answer
    x = 7,073.14

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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.