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Finding the Fourth Proportional to 9,655.88, 14,486.24 and 2,730.38

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Solution

The fourth proportional to 9,655.88, 14,486.24 and 2,730.38 is: 4,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.88 : 14,486.24 = 2,730.38 : x
  2. Step 2: Convert to fraction form
    9,655.88/14,486.24 = 2,730.38/x
  3. Step 3: Cross multiply
    9,655.88x = 14,486.24 × 2,730.38
  4. Step 4: Simplify right side
    9,655.88x = 39,552,874.37
  5. Step 5: Solve for x
    x = 39,552,874.37/9,655.88
  6. Step 6: Final answer
    x = 4,096.25

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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.