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Finding the Fourth Proportional to 6,858.54, 9,461.34 and 4,499.82

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Solution

The fourth proportional to 6,858.54, 9,461.34 and 4,499.82 is: 6,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.54 : 9,461.34 = 4,499.82 : x
  2. Step 2: Convert to fraction form
    6,858.54/9,461.34 = 4,499.82/x
  3. Step 3: Cross multiply
    6,858.54x = 9,461.34 × 4,499.82
  4. Step 4: Simplify right side
    6,858.54x = 42,574,326.96
  5. Step 5: Solve for x
    x = 42,574,326.96/6,858.54
  6. Step 6: Final answer
    x = 6,207.49

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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.