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Finding the Fourth Proportional to 9,348.54, 14,019.77 and 3,106.87

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Solution

The fourth proportional to 9,348.54, 14,019.77 and 3,106.87 is: 4,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.54 : 14,019.77 = 3,106.87 : x
  2. Step 2: Convert to fraction form
    9,348.54/14,019.77 = 3,106.87/x
  3. Step 3: Cross multiply
    9,348.54x = 14,019.77 × 3,106.87
  4. Step 4: Simplify right side
    9,348.54x = 43,557,602.82
  5. Step 5: Solve for x
    x = 43,557,602.82/9,348.54
  6. Step 6: Final answer
    x = 4,659.30

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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.