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Finding the Fourth Proportional to 9,678.82, 14,518.23 and 3,523.30

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Solution

The fourth proportional to 9,678.82, 14,518.23 and 3,523.30 is: 5,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.82 : 14,518.23 = 3,523.30 : x
  2. Step 2: Convert to fraction form
    9,678.82/14,518.23 = 3,523.30/x
  3. Step 3: Cross multiply
    9,678.82x = 14,518.23 × 3,523.30
  4. Step 4: Simplify right side
    9,678.82x = 51,152,079.76
  5. Step 5: Solve for x
    x = 51,152,079.76/9,678.82
  6. Step 6: Final answer
    x = 5,284.95

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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.