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Finding the Fourth Proportional to 9,240.96, 12,752.56 and 5,049.30

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Solution

The fourth proportional to 9,240.96, 12,752.56 and 5,049.30 is: 6,968.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.96 : 12,752.56 = 5,049.30 : x
  2. Step 2: Convert to fraction form
    9,240.96/12,752.56 = 5,049.30/x
  3. Step 3: Cross multiply
    9,240.96x = 12,752.56 × 5,049.30
  4. Step 4: Simplify right side
    9,240.96x = 64,391,501.21
  5. Step 5: Solve for x
    x = 64,391,501.21/9,240.96
  6. Step 6: Final answer
    x = 6,968.05

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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.