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Finding the Fourth Proportional to 6,895.04, 9,509.54 and 4,241.48

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Solution

The fourth proportional to 6,895.04, 9,509.54 and 4,241.48 is: 5,849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.04 : 9,509.54 = 4,241.48 : x
  2. Step 2: Convert to fraction form
    6,895.04/9,509.54 = 4,241.48/x
  3. Step 3: Cross multiply
    6,895.04x = 9,509.54 × 4,241.48
  4. Step 4: Simplify right side
    6,895.04x = 40,334,454.96
  5. Step 5: Solve for x
    x = 40,334,454.96/6,895.04
  6. Step 6: Final answer
    x = 5,849.78

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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.