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Finding the Fourth Proportional to 6,735.64, 9,298.05 and 4,217.19

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Solution

The fourth proportional to 6,735.64, 9,298.05 and 4,217.19 is: 5,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.64 : 9,298.05 = 4,217.19 : x
  2. Step 2: Convert to fraction form
    6,735.64/9,298.05 = 4,217.19/x
  3. Step 3: Cross multiply
    6,735.64x = 9,298.05 × 4,217.19
  4. Step 4: Simplify right side
    6,735.64x = 39,211,643.48
  5. Step 5: Solve for x
    x = 39,211,643.48/6,735.64
  6. Step 6: Final answer
    x = 5,821.52

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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.