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Finding the Fourth Proportional to 9,639.81, 13,302.76 and 5,447.97

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Solution

The fourth proportional to 9,639.81, 13,302.76 and 5,447.97 is: 7,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.81 : 13,302.76 = 5,447.97 : x
  2. Step 2: Convert to fraction form
    9,639.81/13,302.76 = 5,447.97/x
  3. Step 3: Cross multiply
    9,639.81x = 13,302.76 × 5,447.97
  4. Step 4: Simplify right side
    9,639.81x = 72,473,037.40
  5. Step 5: Solve for x
    x = 72,473,037.40/9,639.81
  6. Step 6: Final answer
    x = 7,518.10

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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.