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Finding the Fourth Proportional to 9,674.01, 14,507.94 and 3,098.82

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Solution

The fourth proportional to 9,674.01, 14,507.94 and 3,098.82 is: 4,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.01 : 14,507.94 = 3,098.82 : x
  2. Step 2: Convert to fraction form
    9,674.01/14,507.94 = 3,098.82/x
  3. Step 3: Cross multiply
    9,674.01x = 14,507.94 × 3,098.82
  4. Step 4: Simplify right side
    9,674.01x = 44,957,494.63
  5. Step 5: Solve for x
    x = 44,957,494.63/9,674.01
  6. Step 6: Final answer
    x = 4,647.25

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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.