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Finding the Fourth Proportional to 9,294.26, 12,825.94 and 5,102.51

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Solution

The fourth proportional to 9,294.26, 12,825.94 and 5,102.51 is: 7,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.26 : 12,825.94 = 5,102.51 : x
  2. Step 2: Convert to fraction form
    9,294.26/12,825.94 = 5,102.51/x
  3. Step 3: Cross multiply
    9,294.26x = 12,825.94 × 5,102.51
  4. Step 4: Simplify right side
    9,294.26x = 65,444,487.11
  5. Step 5: Solve for x
    x = 65,444,487.11/9,294.26
  6. Step 6: Final answer
    x = 7,041.39

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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.