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Finding the Fourth Proportional to 9,674.60, 14,513.98 and 3,101.24

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Solution

The fourth proportional to 9,674.60, 14,513.98 and 3,101.24 is: 4,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.60 : 14,513.98 = 3,101.24 : x
  2. Step 2: Convert to fraction form
    9,674.60/14,513.98 = 3,101.24/x
  3. Step 3: Cross multiply
    9,674.60x = 14,513.98 × 3,101.24
  4. Step 4: Simplify right side
    9,674.60x = 45,011,335.34
  5. Step 5: Solve for x
    x = 45,011,335.34/9,674.60
  6. Step 6: Final answer
    x = 4,652.53

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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.