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Finding the Fourth Proportional to 9,292.50, 12,823.92 and 5,101.02

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Solution

The fourth proportional to 9,292.50, 12,823.92 and 5,101.02 is: 7,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.50 : 12,823.92 = 5,101.02 : x
  2. Step 2: Convert to fraction form
    9,292.50/12,823.92 = 5,101.02/x
  3. Step 3: Cross multiply
    9,292.50x = 12,823.92 × 5,101.02
  4. Step 4: Simplify right side
    9,292.50x = 65,415,072.40
  5. Step 5: Solve for x
    x = 65,415,072.40/9,292.50
  6. Step 6: Final answer
    x = 7,039.56

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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.