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Finding the Fourth Proportional to 9,741.90, 14,614.29 and 3,898.38

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Solution

The fourth proportional to 9,741.90, 14,614.29 and 3,898.38 is: 5,848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.90 : 14,614.29 = 3,898.38 : x
  2. Step 2: Convert to fraction form
    9,741.90/14,614.29 = 3,898.38/x
  3. Step 3: Cross multiply
    9,741.90x = 14,614.29 × 3,898.38
  4. Step 4: Simplify right side
    9,741.90x = 56,972,055.85
  5. Step 5: Solve for x
    x = 56,972,055.85/9,741.90
  6. Step 6: Final answer
    x = 5,848.15

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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.