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Finding the Fourth Proportional to 9,816.34, 14,726.94 and 4,621

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Solution

The fourth proportional to 9,816.34, 14,726.94 and 4,621 is: 6,932.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.34 : 14,726.94 = 4,621 : x
  2. Step 2: Convert to fraction form
    9,816.34/14,726.94 = 4,621/x
  3. Step 3: Cross multiply
    9,816.34x = 14,726.94 × 4,621
  4. Step 4: Simplify right side
    9,816.34x = 68,053,189.74
  5. Step 5: Solve for x
    x = 68,053,189.74/9,816.34
  6. Step 6: Final answer
    x = 6,932.64

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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.