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Finding the Fourth Proportional to 6,166.88, 9,191.70 and 5,816.58

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Solution

The fourth proportional to 6,166.88, 9,191.70 and 5,816.58 is: 8,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.88 : 9,191.70 = 5,816.58 : x
  2. Step 2: Convert to fraction form
    6,166.88/9,191.70 = 5,816.58/x
  3. Step 3: Cross multiply
    6,166.88x = 9,191.70 × 5,816.58
  4. Step 4: Simplify right side
    6,166.88x = 53,464,317.83
  5. Step 5: Solve for x
    x = 53,464,317.83/6,166.88
  6. Step 6: Final answer
    x = 8,669.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.