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Finding the Fourth Proportional to 9,666.02, 14,499.30 and 3,424.70

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Solution

The fourth proportional to 9,666.02, 14,499.30 and 3,424.70 is: 5,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.02 : 14,499.30 = 3,424.70 : x
  2. Step 2: Convert to fraction form
    9,666.02/14,499.30 = 3,424.70/x
  3. Step 3: Cross multiply
    9,666.02x = 14,499.30 × 3,424.70
  4. Step 4: Simplify right side
    9,666.02x = 49,655,752.71
  5. Step 5: Solve for x
    x = 49,655,752.71/9,666.02
  6. Step 6: Final answer
    x = 5,137.15

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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.