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Finding the Fourth Proportional to 9,741.65, 13,444.16 and 5,493.09

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Solution

The fourth proportional to 9,741.65, 13,444.16 and 5,493.09 is: 7,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.65 : 13,444.16 = 5,493.09 : x
  2. Step 2: Convert to fraction form
    9,741.65/13,444.16 = 5,493.09/x
  3. Step 3: Cross multiply
    9,741.65x = 13,444.16 × 5,493.09
  4. Step 4: Simplify right side
    9,741.65x = 73,849,953.39
  5. Step 5: Solve for x
    x = 73,849,953.39/9,741.65
  6. Step 6: Final answer
    x = 7,580.85

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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.