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Finding the Fourth Proportional to 10,416.85, 14,381.97 and 9,295.87

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Solution

The fourth proportional to 10,416.85, 14,381.97 and 9,295.87 is: 12,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.85 : 14,381.97 = 9,295.87 : x
  2. Step 2: Convert to fraction form
    10,416.85/14,381.97 = 9,295.87/x
  3. Step 3: Cross multiply
    10,416.85x = 14,381.97 × 9,295.87
  4. Step 4: Simplify right side
    10,416.85x = 133,692,805.07
  5. Step 5: Solve for x
    x = 133,692,805.07/10,416.85
  6. Step 6: Final answer
    x = 12,834.28

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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.