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Finding the Fourth Proportional to 6,587.64, 9,091.80 and 4,069.26

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Solution

The fourth proportional to 6,587.64, 9,091.80 and 4,069.26 is: 5,616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.64 : 9,091.80 = 4,069.26 : x
  2. Step 2: Convert to fraction form
    6,587.64/9,091.80 = 4,069.26/x
  3. Step 3: Cross multiply
    6,587.64x = 9,091.80 × 4,069.26
  4. Step 4: Simplify right side
    6,587.64x = 36,996,898.07
  5. Step 5: Solve for x
    x = 36,996,898.07/6,587.64
  6. Step 6: Final answer
    x = 5,616.11

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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.