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Finding the Fourth Proportional to 9,305.76, 13,952.82 and 3,457.56

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Solution

The fourth proportional to 9,305.76, 13,952.82 and 3,457.56 is: 5,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.76 : 13,952.82 = 3,457.56 : x
  2. Step 2: Convert to fraction form
    9,305.76/13,952.82 = 3,457.56/x
  3. Step 3: Cross multiply
    9,305.76x = 13,952.82 × 3,457.56
  4. Step 4: Simplify right side
    9,305.76x = 48,242,712.32
  5. Step 5: Solve for x
    x = 48,242,712.32/9,305.76
  6. Step 6: Final answer
    x = 5,184.18

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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.