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Finding the Fourth Proportional to 9,666.19, 14,498.74 and 3,425.95

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Solution

The fourth proportional to 9,666.19, 14,498.74 and 3,425.95 is: 5,138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.19 : 14,498.74 = 3,425.95 : x
  2. Step 2: Convert to fraction form
    9,666.19/14,498.74 = 3,425.95/x
  3. Step 3: Cross multiply
    9,666.19x = 14,498.74 × 3,425.95
  4. Step 4: Simplify right side
    9,666.19x = 49,671,958.30
  5. Step 5: Solve for x
    x = 49,671,958.30/9,666.19
  6. Step 6: Final answer
    x = 5,138.73

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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.