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Finding the Fourth Proportional to 9,276.96, 12,802.90 and 5,742.24

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Solution

The fourth proportional to 9,276.96, 12,802.90 and 5,742.24 is: 7,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276.96 : 12,802.90 = 5,742.24 : x
  2. Step 2: Convert to fraction form
    9,276.96/12,802.90 = 5,742.24/x
  3. Step 3: Cross multiply
    9,276.96x = 12,802.90 × 5,742.24
  4. Step 4: Simplify right side
    9,276.96x = 73,517,324.50
  5. Step 5: Solve for x
    x = 73,517,324.50/9,276.96
  6. Step 6: Final answer
    x = 7,924.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.