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Finding the Fourth Proportional to 11,245.94, 15,507.74 and 9,657.84

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Solution

The fourth proportional to 11,245.94, 15,507.74 and 9,657.84 is: 13,317.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,245.94 : 15,507.74 = 9,657.84 : x
  2. Step 2: Convert to fraction form
    11,245.94/15,507.74 = 9,657.84/x
  3. Step 3: Cross multiply
    11,245.94x = 15,507.74 × 9,657.84
  4. Step 4: Simplify right side
    11,245.94x = 149,771,184.45
  5. Step 5: Solve for x
    x = 149,771,184.45/11,245.94
  6. Step 6: Final answer
    x = 13,317.81

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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.