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Finding the Fourth Proportional to 9,674.45, 14,518.14 and 3,518.45

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Solution

The fourth proportional to 9,674.45, 14,518.14 and 3,518.45 is: 5,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.45 : 14,518.14 = 3,518.45 : x
  2. Step 2: Convert to fraction form
    9,674.45/14,518.14 = 3,518.45/x
  3. Step 3: Cross multiply
    9,674.45x = 14,518.14 × 3,518.45
  4. Step 4: Simplify right side
    9,674.45x = 51,081,277.09
  5. Step 5: Solve for x
    x = 51,081,277.09/9,674.45
  6. Step 6: Final answer
    x = 5,280.02

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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.