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Finding the Fourth Proportional to 9,816.30, 14,713.49 and 4,274.30

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Solution

The fourth proportional to 9,816.30, 14,713.49 and 4,274.30 is: 6,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.30 : 14,713.49 = 4,274.30 : x
  2. Step 2: Convert to fraction form
    9,816.30/14,713.49 = 4,274.30/x
  3. Step 3: Cross multiply
    9,816.30x = 14,713.49 × 4,274.30
  4. Step 4: Simplify right side
    9,816.30x = 62,889,870.31
  5. Step 5: Solve for x
    x = 62,889,870.31/9,816.30
  6. Step 6: Final answer
    x = 6,406.68

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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.