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Finding the Fourth Proportional to 9,683.63, 13,364.21 and 5,492.69

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Solution

The fourth proportional to 9,683.63, 13,364.21 and 5,492.69 is: 7,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.63 : 13,364.21 = 5,492.69 : x
  2. Step 2: Convert to fraction form
    9,683.63/13,364.21 = 5,492.69/x
  3. Step 3: Cross multiply
    9,683.63x = 13,364.21 × 5,492.69
  4. Step 4: Simplify right side
    9,683.63x = 73,405,409.54
  5. Step 5: Solve for x
    x = 73,405,409.54/9,683.63
  6. Step 6: Final answer
    x = 7,580.36

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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.