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Finding the Fourth Proportional to 8,903.67, 13,349.34 and 6,406.39

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Solution

The fourth proportional to 8,903.67, 13,349.34 and 6,406.39 is: 9,605.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,903.67 : 13,349.34 = 6,406.39 : x
  2. Step 2: Convert to fraction form
    8,903.67/13,349.34 = 6,406.39/x
  3. Step 3: Cross multiply
    8,903.67x = 13,349.34 × 6,406.39
  4. Step 4: Simplify right side
    8,903.67x = 85,521,078.28
  5. Step 5: Solve for x
    x = 85,521,078.28/8,903.67
  6. Step 6: Final answer
    x = 9,605.15

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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.