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Finding the Fourth Proportional to 9,652.25, 14,478.38 and 2,726.93

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Solution

The fourth proportional to 9,652.25, 14,478.38 and 2,726.93 is: 4,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.25 : 14,478.38 = 2,726.93 : x
  2. Step 2: Convert to fraction form
    9,652.25/14,478.38 = 2,726.93/x
  3. Step 3: Cross multiply
    9,652.25x = 14,478.38 × 2,726.93
  4. Step 4: Simplify right side
    9,652.25x = 39,481,515.14
  5. Step 5: Solve for x
    x = 39,481,515.14/9,652.25
  6. Step 6: Final answer
    x = 4,090.40

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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.