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Finding the Fourth Proportional to 9,392.92, 14,077.14 and 5,232.76

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Solution

The fourth proportional to 9,392.92, 14,077.14 and 5,232.76 is: 7,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.92 : 14,077.14 = 5,232.76 : x
  2. Step 2: Convert to fraction form
    9,392.92/14,077.14 = 5,232.76/x
  3. Step 3: Cross multiply
    9,392.92x = 14,077.14 × 5,232.76
  4. Step 4: Simplify right side
    9,392.92x = 73,662,295.11
  5. Step 5: Solve for x
    x = 73,662,295.11/9,392.92
  6. Step 6: Final answer
    x = 7,842.32

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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.