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Finding the Fourth Proportional to 9,665.71, 14,500.38 and 3,090.13

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Solution

The fourth proportional to 9,665.71, 14,500.38 and 3,090.13 is: 4,635.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.71 : 14,500.38 = 3,090.13 : x
  2. Step 2: Convert to fraction form
    9,665.71/14,500.38 = 3,090.13/x
  3. Step 3: Cross multiply
    9,665.71x = 14,500.38 × 3,090.13
  4. Step 4: Simplify right side
    9,665.71x = 44,808,034.59
  5. Step 5: Solve for x
    x = 44,808,034.59/9,665.71
  6. Step 6: Final answer
    x = 4,635.77

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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.