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Finding the Fourth Proportional to 9,683.44, 13,365 and 5,707.96

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Solution

The fourth proportional to 9,683.44, 13,365 and 5,707.96 is: 7,878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.44 : 13,365 = 5,707.96 : x
  2. Step 2: Convert to fraction form
    9,683.44/13,365 = 5,707.96/x
  3. Step 3: Cross multiply
    9,683.44x = 13,365 × 5,707.96
  4. Step 4: Simplify right side
    9,683.44x = 76,286,885.40
  5. Step 5: Solve for x
    x = 76,286,885.40/9,683.44
  6. Step 6: Final answer
    x = 7,878.08

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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.