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Finding the Fourth Proportional to 6,559.16, 9,841.64 and 3,438.42

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Solution

The fourth proportional to 6,559.16, 9,841.64 and 3,438.42 is: 5,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.16 : 9,841.64 = 3,438.42 : x
  2. Step 2: Convert to fraction form
    6,559.16/9,841.64 = 3,438.42/x
  3. Step 3: Cross multiply
    6,559.16x = 9,841.64 × 3,438.42
  4. Step 4: Simplify right side
    6,559.16x = 33,839,637.71
  5. Step 5: Solve for x
    x = 33,839,637.71/6,559.16
  6. Step 6: Final answer
    x = 5,159.15

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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.