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Finding the Fourth Proportional to 9,741.84, 13,444.74 and 5,967.54

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Solution

The fourth proportional to 9,741.84, 13,444.74 and 5,967.54 is: 8,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.84 : 13,444.74 = 5,967.54 : x
  2. Step 2: Convert to fraction form
    9,741.84/13,444.74 = 5,967.54/x
  3. Step 3: Cross multiply
    9,741.84x = 13,444.74 × 5,967.54
  4. Step 4: Simplify right side
    9,741.84x = 80,232,023.74
  5. Step 5: Solve for x
    x = 80,232,023.74/9,741.84
  6. Step 6: Final answer
    x = 8,235.82

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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.