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Finding the Fourth Proportional to 9,752.32, 14,629.20 and 2,827.36

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Solution

The fourth proportional to 9,752.32, 14,629.20 and 2,827.36 is: 4,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.32 : 14,629.20 = 2,827.36 : x
  2. Step 2: Convert to fraction form
    9,752.32/14,629.20 = 2,827.36/x
  3. Step 3: Cross multiply
    9,752.32x = 14,629.20 × 2,827.36
  4. Step 4: Simplify right side
    9,752.32x = 41,362,014.91
  5. Step 5: Solve for x
    x = 41,362,014.91/9,752.32
  6. Step 6: Final answer
    x = 4,241.25

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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.