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Finding the Fourth Proportional to 9,042.86, 12,479.24 and 5,064

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Solution

The fourth proportional to 9,042.86, 12,479.24 and 5,064 is: 6,988.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.86 : 12,479.24 = 5,064 : x
  2. Step 2: Convert to fraction form
    9,042.86/12,479.24 = 5,064/x
  3. Step 3: Cross multiply
    9,042.86x = 12,479.24 × 5,064
  4. Step 4: Simplify right side
    9,042.86x = 63,194,884.02
  5. Step 5: Solve for x
    x = 63,194,884.02/9,042.86
  6. Step 6: Final answer
    x = 6,988.38

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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.