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Finding the Fourth Proportional to 9,225.59, 12,733.38 and 5,865.77

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Solution

The fourth proportional to 9,225.59, 12,733.38 and 5,865.77 is: 8,096.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.59 : 12,733.38 = 5,865.77 : x
  2. Step 2: Convert to fraction form
    9,225.59/12,733.38 = 5,865.77/x
  3. Step 3: Cross multiply
    9,225.59x = 12,733.38 × 5,865.77
  4. Step 4: Simplify right side
    9,225.59x = 74,691,014.74
  5. Step 5: Solve for x
    x = 74,691,014.74/9,225.59
  6. Step 6: Final answer
    x = 8,096.07

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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.