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Finding the Fourth Proportional to 9,750.58, 14,617.68 and 3,904

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Solution

The fourth proportional to 9,750.58, 14,617.68 and 3,904 is: 5,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.58 : 14,617.68 = 3,904 : x
  2. Step 2: Convert to fraction form
    9,750.58/14,617.68 = 3,904/x
  3. Step 3: Cross multiply
    9,750.58x = 14,617.68 × 3,904
  4. Step 4: Simplify right side
    9,750.58x = 57,067,422.72
  5. Step 5: Solve for x
    x = 57,067,422.72/9,750.58
  6. Step 6: Final answer
    x = 5,852.72

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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.