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Finding the Fourth Proportional to 6,419.15, 9,676.06 and 5,886.02

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Solution

The fourth proportional to 6,419.15, 9,676.06 and 5,886.02 is: 8,872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.15 : 9,676.06 = 5,886.02 : x
  2. Step 2: Convert to fraction form
    6,419.15/9,676.06 = 5,886.02/x
  3. Step 3: Cross multiply
    6,419.15x = 9,676.06 × 5,886.02
  4. Step 4: Simplify right side
    6,419.15x = 56,953,437.73
  5. Step 5: Solve for x
    x = 56,953,437.73/6,419.15
  6. Step 6: Final answer
    x = 8,872.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.