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Finding the Fourth Proportional to 9,850.18, 14,792.90 and 9,453.80

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Solution

The fourth proportional to 9,850.18, 14,792.90 and 9,453.80 is: 14,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.18 : 14,792.90 = 9,453.80 : x
  2. Step 2: Convert to fraction form
    9,850.18/14,792.90 = 9,453.80/x
  3. Step 3: Cross multiply
    9,850.18x = 14,792.90 × 9,453.80
  4. Step 4: Simplify right side
    9,850.18x = 139,849,118.02
  5. Step 5: Solve for x
    x = 139,849,118.02/9,850.18
  6. Step 6: Final answer
    x = 14,197.62

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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.