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Finding the Fourth Proportional to 9,200.92, 12,695.52 and 5,844.28

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Solution

The fourth proportional to 9,200.92, 12,695.52 and 5,844.28 is: 8,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.92 : 12,695.52 = 5,844.28 : x
  2. Step 2: Convert to fraction form
    9,200.92/12,695.52 = 5,844.28/x
  3. Step 3: Cross multiply
    9,200.92x = 12,695.52 × 5,844.28
  4. Step 4: Simplify right side
    9,200.92x = 74,196,173.63
  5. Step 5: Solve for x
    x = 74,196,173.63/9,200.92
  6. Step 6: Final answer
    x = 8,064.00

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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.