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Finding the Fourth Proportional to 6,394.79, 9,574.15 and 3,386.01

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Solution

The fourth proportional to 6,394.79, 9,574.15 and 3,386.01 is: 5,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.79 : 9,574.15 = 3,386.01 : x
  2. Step 2: Convert to fraction form
    6,394.79/9,574.15 = 3,386.01/x
  3. Step 3: Cross multiply
    6,394.79x = 9,574.15 × 3,386.01
  4. Step 4: Simplify right side
    6,394.79x = 32,418,167.64
  5. Step 5: Solve for x
    x = 32,418,167.64/6,394.79
  6. Step 6: Final answer
    x = 5,069.47

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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.