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Finding the Fourth Proportional to 6,415.78, 8,853.36 and 3,726.76

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Solution

The fourth proportional to 6,415.78, 8,853.36 and 3,726.76 is: 5,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.78 : 8,853.36 = 3,726.76 : x
  2. Step 2: Convert to fraction form
    6,415.78/8,853.36 = 3,726.76/x
  3. Step 3: Cross multiply
    6,415.78x = 8,853.36 × 3,726.76
  4. Step 4: Simplify right side
    6,415.78x = 32,994,347.91
  5. Step 5: Solve for x
    x = 32,994,347.91/6,415.78
  6. Step 6: Final answer
    x = 5,142.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.