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Finding the Fourth Proportional to 9,683.67, 13,376.00 and 7,472.89

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Solution

The fourth proportional to 9,683.67, 13,376.00 and 7,472.89 is: 10,322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.67 : 13,376.00 = 7,472.89 : x
  2. Step 2: Convert to fraction form
    9,683.67/13,376.00 = 7,472.89/x
  3. Step 3: Cross multiply
    9,683.67x = 13,376.00 × 7,472.89
  4. Step 4: Simplify right side
    9,683.67x = 99,957,272.40
  5. Step 5: Solve for x
    x = 99,957,272.40/9,683.67
  6. Step 6: Final answer
    x = 10,322.25

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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.