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Finding the Fourth Proportional to 9,722.04, 14,585.22 and 2,796

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Solution

The fourth proportional to 9,722.04, 14,585.22 and 2,796 is: 4,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.04 : 14,585.22 = 2,796 : x
  2. Step 2: Convert to fraction form
    9,722.04/14,585.22 = 2,796/x
  3. Step 3: Cross multiply
    9,722.04x = 14,585.22 × 2,796
  4. Step 4: Simplify right side
    9,722.04x = 40,780,275.12
  5. Step 5: Solve for x
    x = 40,780,275.12/9,722.04
  6. Step 6: Final answer
    x = 4,194.62

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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.