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Finding the Fourth Proportional to 9,244.86, 12,756.38 and 5,709.20

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Solution

The fourth proportional to 9,244.86, 12,756.38 and 5,709.20 is: 7,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.86 : 12,756.38 = 5,709.20 : x
  2. Step 2: Convert to fraction form
    9,244.86/12,756.38 = 5,709.20/x
  3. Step 3: Cross multiply
    9,244.86x = 12,756.38 × 5,709.20
  4. Step 4: Simplify right side
    9,244.86x = 72,828,724.70
  5. Step 5: Solve for x
    x = 72,828,724.70/9,244.86
  6. Step 6: Final answer
    x = 7,877.75

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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.