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Finding the Fourth Proportional to 9,614.71, 14,421.75 and 4,066.54

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Solution

The fourth proportional to 9,614.71, 14,421.75 and 4,066.54 is: 6,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.71 : 14,421.75 = 4,066.54 : x
  2. Step 2: Convert to fraction form
    9,614.71/14,421.75 = 4,066.54/x
  3. Step 3: Cross multiply
    9,614.71x = 14,421.75 × 4,066.54
  4. Step 4: Simplify right side
    9,614.71x = 58,646,623.25
  5. Step 5: Solve for x
    x = 58,646,623.25/9,614.71
  6. Step 6: Final answer
    x = 6,099.68

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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.