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Finding the Fourth Proportional to 9,356.84, 14,031 and 3,808.12

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Solution

The fourth proportional to 9,356.84, 14,031 and 3,808.12 is: 5,710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.84 : 14,031 = 3,808.12 : x
  2. Step 2: Convert to fraction form
    9,356.84/14,031 = 3,808.12/x
  3. Step 3: Cross multiply
    9,356.84x = 14,031 × 3,808.12
  4. Step 4: Simplify right side
    9,356.84x = 53,431,731.72
  5. Step 5: Solve for x
    x = 53,431,731.72/9,356.84
  6. Step 6: Final answer
    x = 5,710.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.