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Finding the Fourth Proportional to 9,029.76, 12,461.41 and 5,050.86

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Solution

The fourth proportional to 9,029.76, 12,461.41 and 5,050.86 is: 6,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.76 : 12,461.41 = 5,050.86 : x
  2. Step 2: Convert to fraction form
    9,029.76/12,461.41 = 5,050.86/x
  3. Step 3: Cross multiply
    9,029.76x = 12,461.41 × 5,050.86
  4. Step 4: Simplify right side
    9,029.76x = 62,940,837.31
  5. Step 5: Solve for x
    x = 62,940,837.31/9,029.76
  6. Step 6: Final answer
    x = 6,970.38

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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.