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Finding the Fourth Proportional to 9,606.07, 13,252 and 5,625.42

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Solution

The fourth proportional to 9,606.07, 13,252 and 5,625.42 is: 7,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.07 : 13,252 = 5,625.42 : x
  2. Step 2: Convert to fraction form
    9,606.07/13,252 = 5,625.42/x
  3. Step 3: Cross multiply
    9,606.07x = 13,252 × 5,625.42
  4. Step 4: Simplify right side
    9,606.07x = 74,548,065.84
  5. Step 5: Solve for x
    x = 74,548,065.84/9,606.07
  6. Step 6: Final answer
    x = 7,760.52

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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.