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Finding the Fourth Proportional to 9,193.80, 13,790.70 and 7,570.56

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Solution

The fourth proportional to 9,193.80, 13,790.70 and 7,570.56 is: 11,355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.80 : 13,790.70 = 7,570.56 : x
  2. Step 2: Convert to fraction form
    9,193.80/13,790.70 = 7,570.56/x
  3. Step 3: Cross multiply
    9,193.80x = 13,790.70 × 7,570.56
  4. Step 4: Simplify right side
    9,193.80x = 104,403,321.79
  5. Step 5: Solve for x
    x = 104,403,321.79/9,193.80
  6. Step 6: Final answer
    x = 11,355.84

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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.