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Finding the Fourth Proportional to 9,354.06, 14,031.99 and 3,807.87

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Solution

The fourth proportional to 9,354.06, 14,031.99 and 3,807.87 is: 5,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.06 : 14,031.99 = 3,807.87 : x
  2. Step 2: Convert to fraction form
    9,354.06/14,031.99 = 3,807.87/x
  3. Step 3: Cross multiply
    9,354.06x = 14,031.99 × 3,807.87
  4. Step 4: Simplify right side
    9,354.06x = 53,431,993.76
  5. Step 5: Solve for x
    x = 53,431,993.76/9,354.06
  6. Step 6: Final answer
    x = 5,712.17

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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.