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Finding the Fourth Proportional to 6,586.62, 9,091.85 and 4,070.66

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Solution

The fourth proportional to 6,586.62, 9,091.85 and 4,070.66 is: 5,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.62 : 9,091.85 = 4,070.66 : x
  2. Step 2: Convert to fraction form
    6,586.62/9,091.85 = 4,070.66/x
  3. Step 3: Cross multiply
    6,586.62x = 9,091.85 × 4,070.66
  4. Step 4: Simplify right side
    6,586.62x = 37,009,764.31
  5. Step 5: Solve for x
    x = 37,009,764.31/6,586.62
  6. Step 6: Final answer
    x = 5,618.93

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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.