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Finding the Fourth Proportional to 9,276.94, 12,802.81 and 5,242.37

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Solution

The fourth proportional to 9,276.94, 12,802.81 and 5,242.37 is: 7,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276.94 : 12,802.81 = 5,242.37 : x
  2. Step 2: Convert to fraction form
    9,276.94/12,802.81 = 5,242.37/x
  3. Step 3: Cross multiply
    9,276.94x = 12,802.81 × 5,242.37
  4. Step 4: Simplify right side
    9,276.94x = 67,117,085.96
  5. Step 5: Solve for x
    x = 67,117,085.96/9,276.94
  6. Step 6: Final answer
    x = 7,234.83

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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.