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Finding the Fourth Proportional to 9,683.32, 13,362.78 and 5,434.60

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Solution

The fourth proportional to 9,683.32, 13,362.78 and 5,434.60 is: 7,499.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.32 : 13,362.78 = 5,434.60 : x
  2. Step 2: Convert to fraction form
    9,683.32/13,362.78 = 5,434.60/x
  3. Step 3: Cross multiply
    9,683.32x = 13,362.78 × 5,434.60
  4. Step 4: Simplify right side
    9,683.32x = 72,621,364.19
  5. Step 5: Solve for x
    x = 72,621,364.19/9,683.32
  6. Step 6: Final answer
    x = 7,499.63

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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.