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Finding the Fourth Proportional to 6,587.76, 9,091.40 and 3,794.16

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Solution

The fourth proportional to 6,587.76, 9,091.40 and 3,794.16 is: 5,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.76 : 9,091.40 = 3,794.16 : x
  2. Step 2: Convert to fraction form
    6,587.76/9,091.40 = 3,794.16/x
  3. Step 3: Cross multiply
    6,587.76x = 9,091.40 × 3,794.16
  4. Step 4: Simplify right side
    6,587.76x = 34,494,226.22
  5. Step 5: Solve for x
    x = 34,494,226.22/6,587.76
  6. Step 6: Final answer
    x = 5,236.11

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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.