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Finding the Fourth Proportional to 6,664.57, 9,209.30 and 5,707.35

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Solution

The fourth proportional to 6,664.57, 9,209.30 and 5,707.35 is: 7,886.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.57 : 9,209.30 = 5,707.35 : x
  2. Step 2: Convert to fraction form
    6,664.57/9,209.30 = 5,707.35/x
  3. Step 3: Cross multiply
    6,664.57x = 9,209.30 × 5,707.35
  4. Step 4: Simplify right side
    6,664.57x = 52,560,669.82
  5. Step 5: Solve for x
    x = 52,560,669.82/6,664.57
  6. Step 6: Final answer
    x = 7,886.58

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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.