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Finding the Fourth Proportional to 9,666.41, 14,501.45 and 3,425.70

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Solution

The fourth proportional to 9,666.41, 14,501.45 and 3,425.70 is: 5,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.41 : 14,501.45 = 3,425.70 : x
  2. Step 2: Convert to fraction form
    9,666.41/14,501.45 = 3,425.70/x
  3. Step 3: Cross multiply
    9,666.41x = 14,501.45 × 3,425.70
  4. Step 4: Simplify right side
    9,666.41x = 49,677,600.14
  5. Step 5: Solve for x
    x = 49,677,600.14/9,666.41
  6. Step 6: Final answer
    x = 5,139.20

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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.