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Finding the Fourth Proportional to 9,204.25, 12,702 and 5,012.50

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Solution

The fourth proportional to 9,204.25, 12,702 and 5,012.50 is: 6,917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.25 : 12,702 = 5,012.50 : x
  2. Step 2: Convert to fraction form
    9,204.25/12,702 = 5,012.50/x
  3. Step 3: Cross multiply
    9,204.25x = 12,702 × 5,012.50
  4. Step 4: Simplify right side
    9,204.25x = 63,668,775
  5. Step 5: Solve for x
    x = 63,668,775/9,204.25
  6. Step 6: Final answer
    x = 6,917.32

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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.