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Finding the Fourth Proportional to 6,106.70, 9,166.53 and 5,795.66

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Solution

The fourth proportional to 6,106.70, 9,166.53 and 5,795.66 is: 8,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.70 : 9,166.53 = 5,795.66 : x
  2. Step 2: Convert to fraction form
    6,106.70/9,166.53 = 5,795.66/x
  3. Step 3: Cross multiply
    6,106.70x = 9,166.53 × 5,795.66
  4. Step 4: Simplify right side
    6,106.70x = 53,126,091.26
  5. Step 5: Solve for x
    x = 53,126,091.26/6,106.70
  6. Step 6: Final answer
    x = 8,699.64

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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.