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Finding the Fourth Proportional to 9,546.81, 13,170.69 and 6,888.39

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Solution

The fourth proportional to 9,546.81, 13,170.69 and 6,888.39 is: 9,503.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.81 : 13,170.69 = 6,888.39 : x
  2. Step 2: Convert to fraction form
    9,546.81/13,170.69 = 6,888.39/x
  3. Step 3: Cross multiply
    9,546.81x = 13,170.69 × 6,888.39
  4. Step 4: Simplify right side
    9,546.81x = 90,724,849.29
  5. Step 5: Solve for x
    x = 90,724,849.29/9,546.81
  6. Step 6: Final answer
    x = 9,503.16

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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.