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Finding the Fourth Proportional to 9,741.17, 13,453.71 and 6,591.89

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Solution

The fourth proportional to 9,741.17, 13,453.71 and 6,591.89 is: 9,104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.17 : 13,453.71 = 6,591.89 : x
  2. Step 2: Convert to fraction form
    9,741.17/13,453.71 = 6,591.89/x
  3. Step 3: Cross multiply
    9,741.17x = 13,453.71 × 6,591.89
  4. Step 4: Simplify right side
    9,741.17x = 88,685,376.41
  5. Step 5: Solve for x
    x = 88,685,376.41/9,741.17
  6. Step 6: Final answer
    x = 9,104.18

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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.