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Finding the Fourth Proportional to 8,900.40, 13,344.47 and 6,403.14

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Solution

The fourth proportional to 8,900.40, 13,344.47 and 6,403.14 is: 9,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,900.40 : 13,344.47 = 6,403.14 : x
  2. Step 2: Convert to fraction form
    8,900.40/13,344.47 = 6,403.14/x
  3. Step 3: Cross multiply
    8,900.40x = 13,344.47 × 6,403.14
  4. Step 4: Simplify right side
    8,900.40x = 85,446,477.62
  5. Step 5: Solve for x
    x = 85,446,477.62/8,900.40
  6. Step 6: Final answer
    x = 9,600.30

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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.