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Finding the Fourth Proportional to 9,241.78, 13,862.47 and 6,272.82

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Solution

The fourth proportional to 9,241.78, 13,862.47 and 6,272.82 is: 9,409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.78 : 13,862.47 = 6,272.82 : x
  2. Step 2: Convert to fraction form
    9,241.78/13,862.47 = 6,272.82/x
  3. Step 3: Cross multiply
    9,241.78x = 13,862.47 × 6,272.82
  4. Step 4: Simplify right side
    9,241.78x = 86,956,718.51
  5. Step 5: Solve for x
    x = 86,956,718.51/9,241.78
  6. Step 6: Final answer
    x = 9,409.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.