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Finding the Fourth Proportional to 7,017.32, 9,683.84 and 3,830.60

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Solution

The fourth proportional to 7,017.32, 9,683.84 and 3,830.60 is: 5,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017.32 : 9,683.84 = 3,830.60 : x
  2. Step 2: Convert to fraction form
    7,017.32/9,683.84 = 3,830.60/x
  3. Step 3: Cross multiply
    7,017.32x = 9,683.84 × 3,830.60
  4. Step 4: Simplify right side
    7,017.32x = 37,094,869.08
  5. Step 5: Solve for x
    x = 37,094,869.08/7,017.32
  6. Step 6: Final answer
    x = 5,286.19

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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.