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Finding the Fourth Proportional to 9,790.34, 13,503.93 and 8,170.75

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Solution

The fourth proportional to 9,790.34, 13,503.93 and 8,170.75 is: 11,270.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.34 : 13,503.93 = 8,170.75 : x
  2. Step 2: Convert to fraction form
    9,790.34/13,503.93 = 8,170.75/x
  3. Step 3: Cross multiply
    9,790.34x = 13,503.93 × 8,170.75
  4. Step 4: Simplify right side
    9,790.34x = 110,337,168.53
  5. Step 5: Solve for x
    x = 110,337,168.53/9,790.34
  6. Step 6: Final answer
    x = 11,270.00

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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.