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Finding the Fourth Proportional to 8,939.72, 12,328.74 and 5,582.84

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Solution

The fourth proportional to 8,939.72, 12,328.74 and 5,582.84 is: 7,699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,939.72 : 12,328.74 = 5,582.84 : x
  2. Step 2: Convert to fraction form
    8,939.72/12,328.74 = 5,582.84/x
  3. Step 3: Cross multiply
    8,939.72x = 12,328.74 × 5,582.84
  4. Step 4: Simplify right side
    8,939.72x = 68,829,382.82
  5. Step 5: Solve for x
    x = 68,829,382.82/8,939.72
  6. Step 6: Final answer
    x = 7,699.28

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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.