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Finding the Fourth Proportional to 6,456.42, 9,683.82 and 2,557.08

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Solution

The fourth proportional to 6,456.42, 9,683.82 and 2,557.08 is: 3,835.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.42 : 9,683.82 = 2,557.08 : x
  2. Step 2: Convert to fraction form
    6,456.42/9,683.82 = 2,557.08/x
  3. Step 3: Cross multiply
    6,456.42x = 9,683.82 × 2,557.08
  4. Step 4: Simplify right side
    6,456.42x = 24,762,302.45
  5. Step 5: Solve for x
    x = 24,762,302.45/6,456.42
  6. Step 6: Final answer
    x = 3,835.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.