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Finding the Fourth Proportional to 9,666.95, 14,498.60 and 3,426.71

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Solution

The fourth proportional to 9,666.95, 14,498.60 and 3,426.71 is: 5,139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.95 : 14,498.60 = 3,426.71 : x
  2. Step 2: Convert to fraction form
    9,666.95/14,498.60 = 3,426.71/x
  3. Step 3: Cross multiply
    9,666.95x = 14,498.60 × 3,426.71
  4. Step 4: Simplify right side
    9,666.95x = 49,682,407.98
  5. Step 5: Solve for x
    x = 49,682,407.98/9,666.95
  6. Step 6: Final answer
    x = 5,139.41

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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.