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Finding the Fourth Proportional to 9,914.96, 13,683.51 and 5,439.59

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Solution

The fourth proportional to 9,914.96, 13,683.51 and 5,439.59 is: 7,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.96 : 13,683.51 = 5,439.59 : x
  2. Step 2: Convert to fraction form
    9,914.96/13,683.51 = 5,439.59/x
  3. Step 3: Cross multiply
    9,914.96x = 13,683.51 × 5,439.59
  4. Step 4: Simplify right side
    9,914.96x = 74,432,615.74
  5. Step 5: Solve for x
    x = 74,432,615.74/9,914.96
  6. Step 6: Final answer
    x = 7,507.11

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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.