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Finding the Fourth Proportional to 9,234.90, 12,744.14 and 5,043.14

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Solution

The fourth proportional to 9,234.90, 12,744.14 and 5,043.14 is: 6,959.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.90 : 12,744.14 = 5,043.14 : x
  2. Step 2: Convert to fraction form
    9,234.90/12,744.14 = 5,043.14/x
  3. Step 3: Cross multiply
    9,234.90x = 12,744.14 × 5,043.14
  4. Step 4: Simplify right side
    9,234.90x = 64,270,482.20
  5. Step 5: Solve for x
    x = 64,270,482.20/9,234.90
  6. Step 6: Final answer
    x = 6,959.52

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1.5x scale

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.