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Finding the Fourth Proportional to 6,809.62, 9,397.64 and 4,156.25

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Solution

The fourth proportional to 6,809.62, 9,397.64 and 4,156.25 is: 5,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.62 : 9,397.64 = 4,156.25 : x
  2. Step 2: Convert to fraction form
    6,809.62/9,397.64 = 4,156.25/x
  3. Step 3: Cross multiply
    6,809.62x = 9,397.64 × 4,156.25
  4. Step 4: Simplify right side
    6,809.62x = 39,058,941.25
  5. Step 5: Solve for x
    x = 39,058,941.25/6,809.62
  6. Step 6: Final answer
    x = 5,735.85

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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.