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Finding the Fourth Proportional to 8,649.90, 12,927.45 and 6,314.82

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Solution

The fourth proportional to 8,649.90, 12,927.45 and 6,314.82 is: 9,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.90 : 12,927.45 = 6,314.82 : x
  2. Step 2: Convert to fraction form
    8,649.90/12,927.45 = 6,314.82/x
  3. Step 3: Cross multiply
    8,649.90x = 12,927.45 × 6,314.82
  4. Step 4: Simplify right side
    8,649.90x = 81,634,519.81
  5. Step 5: Solve for x
    x = 81,634,519.81/8,649.90
  6. Step 6: Final answer
    x = 9,437.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.