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Finding the Fourth Proportional to 6,397.60, 9,596.40 and 3,812.08

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Solution

The fourth proportional to 6,397.60, 9,596.40 and 3,812.08 is: 5,718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.60 : 9,596.40 = 3,812.08 : x
  2. Step 2: Convert to fraction form
    6,397.60/9,596.40 = 3,812.08/x
  3. Step 3: Cross multiply
    6,397.60x = 9,596.40 × 3,812.08
  4. Step 4: Simplify right side
    6,397.60x = 36,582,244.51
  5. Step 5: Solve for x
    x = 36,582,244.51/6,397.60
  6. Step 6: Final answer
    x = 5,718.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.