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Finding the Fourth Proportional to 9,214.62, 12,707.23 and 5,851.50

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Solution

The fourth proportional to 9,214.62, 12,707.23 and 5,851.50 is: 8,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.62 : 12,707.23 = 5,851.50 : x
  2. Step 2: Convert to fraction form
    9,214.62/12,707.23 = 5,851.50/x
  3. Step 3: Cross multiply
    9,214.62x = 12,707.23 × 5,851.50
  4. Step 4: Simplify right side
    9,214.62x = 74,356,356.35
  5. Step 5: Solve for x
    x = 74,356,356.35/9,214.62
  6. Step 6: Final answer
    x = 8,069.39

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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.