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Finding the Fourth Proportional to 6,848.30, 9,445.82 and 4,196.99

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Solution

The fourth proportional to 6,848.30, 9,445.82 and 4,196.99 is: 5,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.30 : 9,445.82 = 4,196.99 : x
  2. Step 2: Convert to fraction form
    6,848.30/9,445.82 = 4,196.99/x
  3. Step 3: Cross multiply
    6,848.30x = 9,445.82 × 4,196.99
  4. Step 4: Simplify right side
    6,848.30x = 39,643,943.87
  5. Step 5: Solve for x
    x = 39,643,943.87/6,848.30
  6. Step 6: Final answer
    x = 5,788.88

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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.