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Finding the Fourth Proportional to 6,881.25, 9,497.98 and 4,049.53

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Solution

The fourth proportional to 6,881.25, 9,497.98 and 4,049.53 is: 5,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.25 : 9,497.98 = 4,049.53 : x
  2. Step 2: Convert to fraction form
    6,881.25/9,497.98 = 4,049.53/x
  3. Step 3: Cross multiply
    6,881.25x = 9,497.98 × 4,049.53
  4. Step 4: Simplify right side
    6,881.25x = 38,462,347.66
  5. Step 5: Solve for x
    x = 38,462,347.66/6,881.25
  6. Step 6: Final answer
    x = 5,589.45

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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.